Golub, Gene H. (Gene Howard) 19322007
Overview
Works:  216 works in 760 publications in 5 languages and 11,854 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Secretary, Honoree, Other, Dedicatee 
Publication Timeline
.
Most widely held works about
Gene H Golub
 Milestones in matrix computation : selected works of Gene H. Golub with commentaries by Gene H Golub( Book )
 Matrix methods : theory, algorithms and applications : dedicated to the memory of Gene Golub by International Conference on Matrix Methods and Operator Equations( Book )
 Computer Science at Stanford; the impact of the first ten years : by Stanford University( )
 The living legends: a discussion about the establishment of the Computer Science Department at Stanford University :( )
 Charles Babbage Institute Oral history collection by Charles Babbage Institute( )
 Oral history collection : by Charles Babbage Institute( )
more
fewer
Most widely held works by
Gene H Golub
Matrix computations by
Gene H Golub(
Book
)
109 editions published between 1983 and 2013 in 4 languages and held by 2,506 WorldCat member libraries worldwide
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified GramSchmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem
109 editions published between 1983 and 2013 in 4 languages and held by 2,506 WorldCat member libraries worldwide
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified GramSchmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem
Studies in numerical analysis by
Gene H Golub(
Book
)
16 editions published in 1984 in 3 languages and held by 514 WorldCat member libraries worldwide
16 editions published in 1984 in 3 languages and held by 514 WorldCat member libraries worldwide
Scientific computing : an introduction with parallel computing by
Gene H Golub(
Book
)
19 editions published between 1993 and 1997 in English and Undetermined and held by 461 WorldCat member libraries worldwide
This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case
19 editions published between 1993 and 1997 in English and Undetermined and held by 461 WorldCat member libraries worldwide
This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case
Numerical analysis by
Jacques Baranger(
Book
)
25 editions published between 1978 and 1985 in English and held by 409 WorldCat member libraries worldwide
25 editions published between 1978 and 1985 in English and held by 409 WorldCat member libraries worldwide
Scientific computing and differential equations : an introduction to numerical methods by
Gene H Golub(
Book
)
20 editions published between 1991 and 2006 in English and held by 403 WorldCat member libraries worldwide
Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context
20 editions published between 1991 and 2006 in English and held by 403 WorldCat member libraries worldwide
Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context
Recent advances in numerical analysis : proceedings of a symposium conducted by the Mathematics Research Center, the University
of WisconsinMadison, May 2224, 1978 by
Gene H Golub(
Book
)
27 editions published between 1978 and 1979 in English and Undetermined and held by 373 WorldCat member libraries worldwide
Recent Advances in Numerical Analysis
27 editions published between 1978 and 1979 in English and Undetermined and held by 373 WorldCat member libraries worldwide
Recent Advances in Numerical Analysis
Matrices, moments, and quadrature with applications by
Gene H Golub(
Book
)
17 editions published between 2009 and 2010 in English and held by 270 WorldCat member libraries worldwide
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms
17 editions published between 2009 and 2010 in English and held by 270 WorldCat member libraries worldwide
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms
Inverse Eigenvalue problems : theory, algorithms, and applications by
Moody TenChao Chu(
Book
)
19 editions published between 2005 and 2007 in English and held by 222 WorldCat member libraries worldwide
"The basic goal of inverse eigenvalue problems is to reconstruct the physical parameters for a certain system from the knowledge or characteristics of its dynamical behaviour, and such reconstructions are required in a remarkable variety of applications. Associated with any inverse eigenvalue problem are two fundamental questions  the theoretic issue on solvability and the practical issue on computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems."Jacket
19 editions published between 2005 and 2007 in English and held by 222 WorldCat member libraries worldwide
"The basic goal of inverse eigenvalue problems is to reconstruct the physical parameters for a certain system from the knowledge or characteristics of its dynamical behaviour, and such reconstructions are required in a remarkable variety of applications. Associated with any inverse eigenvalue problem are two fundamental questions  the theoretic issue on solvability and the practical issue on computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental questions, some known results, many applications, mathematical properties, a variety of numerical techniques, as well as several open problems."Jacket
Recent advances in iterative methods by
Gene H Golub(
Book
)
12 editions published in 1994 in English and Undetermined and held by 213 WorldCat member libraries worldwide
The solution of very large sparse or structured linear algebra problems is an integral part of many scientific computations. Direct methods for solving such problems are often infeasible because of computation time and memory requirements, and so iterative techniques are used instead. In recent years much research has focussed on the efficient solution of large systems of linear equations, least squares problems, and eigenvalue problems using iterative methods. This volume on iterative methods for sparse and structured problems brings together researchers from all over the world to discuss topics of current research. Areas addressed included the development of efficient iterative techniques for solving nonsymmetric linear systems and eigenvalue problems, estimating the convergence rate of such algorithms, and constructing efficient preconditioners for special classes of matrices such as Toeplitz and Hankel matrices. Iteration strategies and preconditioners that could exploit parallelism were of special interest. This volume represents the latest results of mathematical and computational research into the development and analysis of robust iterative methods for numerical linear algebra problems. This volume will be useful for both mathematicians and for those involved in applications using iterative methods
12 editions published in 1994 in English and Undetermined and held by 213 WorldCat member libraries worldwide
The solution of very large sparse or structured linear algebra problems is an integral part of many scientific computations. Direct methods for solving such problems are often infeasible because of computation time and memory requirements, and so iterative techniques are used instead. In recent years much research has focussed on the efficient solution of large systems of linear equations, least squares problems, and eigenvalue problems using iterative methods. This volume on iterative methods for sparse and structured problems brings together researchers from all over the world to discuss topics of current research. Areas addressed included the development of efficient iterative techniques for solving nonsymmetric linear systems and eigenvalue problems, estimating the convergence rate of such algorithms, and constructing efficient preconditioners for special classes of matrices such as Toeplitz and Hankel matrices. Iteration strategies and preconditioners that could exploit parallelism were of special interest. This volume represents the latest results of mathematical and computational research into the development and analysis of robust iterative methods for numerical linear algebra problems. This volume will be useful for both mathematicians and for those involved in applications using iterative methods
Numerical linear algebra, digital signal processing, and parallel algorithms by
Gene H Golub(
Book
)
20 editions published between 1988 and 1991 in English and held by 202 WorldCat member libraries worldwide
Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting:  Singular value and eigenvalue decompositions, including applications,  Toeplitz matrices, including special algorithms and architectures,  Recursive least squares in linear algebra, digital signal processing and control,  Updating and downdating techniques in linear algebra and signal processing,  Stability and sensitivity analysis of special recursive least squares problems,  Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines
20 editions published between 1988 and 1991 in English and held by 202 WorldCat member libraries worldwide
Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting:  Singular value and eigenvalue decompositions, including applications,  Toeplitz matrices, including special algorithms and architectures,  Recursive least squares in linear algebra, digital signal processing and control,  Updating and downdating techniques in linear algebra and signal processing,  Stability and sensitivity analysis of special recursive least squares problems,  Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines
Iterative methods in scientific computing by
Raymond H Chan(
Book
)
9 editions published in 1997 in English and held by 151 WorldCat member libraries worldwide
9 editions published in 1997 in English and held by 151 WorldCat member libraries worldwide
Résolution numérique des grands systèmes linéaires by
Gene H Golub(
Book
)
9 editions published between 1981 and 1983 in 3 languages and held by 107 WorldCat member libraries worldwide
9 editions published between 1981 and 1983 in 3 languages and held by 107 WorldCat member libraries worldwide
Linear algebra for large scale and realtime applications by NATO Advanced Study Institute on Linear Algebra for LargeScale and RealTime Applications(
Book
)
9 editions published between 1993 and 2011 in English and held by 94 WorldCat member libraries worldwide
In recent years, there has been a great interest in largescale and realtime matrix compu tationsj these computations arise in a variety of fields, such as computer graphics, imaging, speech and image processing, telecommunication, biomedical signal processing, optimiza tion and so on. This volume gives an account of recent research advances in numerical techniques used in largescale and realtime computations and their implementation on high performance computers. For anyone interested in any of the aforementioned disci plines, this collection of papers is of value and provides stateoftheart expositions as weil as new and important trends and directions for the future, motivated and illustrated by a wealth of scientific and engineering applications. The volume is an outgrowth of the NATO Advanced Study Institute "Linear Algebra for LargeScale and RealTime Applications," held at Leuven, Belgium, August 1992. We were quite fortunate to be able to gather such an exceilent group of researchers to participate in this Institute. We are indebted to all the participants who enriched the meeting through their many contributions. Special thanks are due to the invited speakers at the Institute, P. Bjlifrstad, Universitetet i Bergen Norway, S. Boyd, Stanford University U.S.A., G. Cy benko, Dartmouth College U.S.A., J. Demmel, University of California Berkeley U.S. A, E. Deprettere, Technische Universiteit Delft The Netherlands, P. Dewilde, Technische Uni versiteit Delft The Netherlands, R. Freund, AT & T U.S.A., M
9 editions published between 1993 and 2011 in English and held by 94 WorldCat member libraries worldwide
In recent years, there has been a great interest in largescale and realtime matrix compu tationsj these computations arise in a variety of fields, such as computer graphics, imaging, speech and image processing, telecommunication, biomedical signal processing, optimiza tion and so on. This volume gives an account of recent research advances in numerical techniques used in largescale and realtime computations and their implementation on high performance computers. For anyone interested in any of the aforementioned disci plines, this collection of papers is of value and provides stateoftheart expositions as weil as new and important trends and directions for the future, motivated and illustrated by a wealth of scientific and engineering applications. The volume is an outgrowth of the NATO Advanced Study Institute "Linear Algebra for LargeScale and RealTime Applications," held at Leuven, Belgium, August 1992. We were quite fortunate to be able to gather such an exceilent group of researchers to participate in this Institute. We are indebted to all the participants who enriched the meeting through their many contributions. Special thanks are due to the invited speakers at the Institute, P. Bjlifrstad, Universitetet i Bergen Norway, S. Boyd, Stanford University U.S.A., G. Cy benko, Dartmouth College U.S.A., J. Demmel, University of California Berkeley U.S. A, E. Deprettere, Technische Universiteit Delft The Netherlands, P. Dewilde, Technische Uni versiteit Delft The Netherlands, R. Freund, AT & T U.S.A., M
Proceedings of the Workshop on Scientific Computing : Hong Kong, 1012 March, 1997 by Workshop on Scientific Computing(
Book
)
4 editions published between 1997 and 1998 in English and held by 94 WorldCat member libraries worldwide
4 editions published between 1997 and 1998 in English and held by 94 WorldCat member libraries worldwide
Scientific computing : eine Einführung in das wissenschaftliche Rechnen und parallele Numerik by
Gene H Golub(
Book
)
2 editions published in 1996 in German and held by 85 WorldCat member libraries worldwide
2 editions published in 1996 in German and held by 85 WorldCat member libraries worldwide
Recent advances in Lanczosbased iterative methods for non symmetric linear systems by
Roland W Freund(
Book
)
2 editions published in 1992 in English and held by 76 WorldCat member libraries worldwide
Abstract: "In recent years, there has been a true revival of the nonsymmetric Lanczos method. On the one hand, the possible breakdowns in the classical algorithm are now better understood, and socalled lookahead variants of the Lanczos process have been developed, which remedy this problem. On the other hand, various new Lanczosbased iterative schemes for solving nonsymmetric linear systems have been proposed. This paper gives a survey of some of these recent developments."
2 editions published in 1992 in English and held by 76 WorldCat member libraries worldwide
Abstract: "In recent years, there has been a true revival of the nonsymmetric Lanczos method. On the one hand, the possible breakdowns in the classical algorithm are now better understood, and socalled lookahead variants of the Lanczos process have been developed, which remedy this problem. On the other hand, various new Lanczosbased iterative schemes for solving nonsymmetric linear systems have been proposed. This paper gives a survey of some of these recent developments."
Wissenschaftliches Rechnen und Differentialgleichungen : eine Einführung in die numerische Mathematik by
Gene H Golub(
Book
)
5 editions published in 1995 in German and held by 66 WorldCat member libraries worldwide
5 editions published in 1995 in German and held by 66 WorldCat member libraries worldwide
Milestones in matrix computation : selected works of Gene H. Golub with commentaries by
Gene H Golub(
Book
)
10 editions published in 2007 in English and held by 12 WorldCat member libraries worldwide
The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. Including commentaries by leading experts and a brief biography, this text will be of great interest to students and researchers in numerical analysis and scientific computation.  ;The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, s
10 editions published in 2007 in English and held by 12 WorldCat member libraries worldwide
The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. Including commentaries by leading experts and a brief biography, this text will be of great interest to students and researchers in numerical analysis and scientific computation.  ;The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, s
Matrix methods : theory, algorithms and applications : dedicated to the memory of Gene Golub by International Conference on Matrix Methods and Operator Equations(
Book
)
6 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 2327 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano SerraCapizzano, Gilbert Strang and Eugene Tyrtyshnikov. Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds. In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume. The soul of the meeting was Gene Golub, who rendered a charming "Golub's dimension" to the three main axes of the conference topics. This volume is dedicated in gratitude to his memory
6 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 2327 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano SerraCapizzano, Gilbert Strang and Eugene Tyrtyshnikov. Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds. In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume. The soul of the meeting was Gene Golub, who rendered a charming "Golub's dimension" to the three main axes of the conference topics. This volume is dedicated in gratitude to his memory
Rosetak Document 4 : Rank Degeneracies and Least Square Problems(
)
2 editions published in 1977 in English and held by 0 WorldCat member libraries worldwide
In this paper we shall be concerned with the following problem. Let A be an m x n matrix with m being greater than or equal to n, and suppose that A is near (in a sense to be made precise later) a matrix B whose rank is less than n. Can one find a set of linearly independent columns of A that span a good approximation to the column space of B? The solution of this problem is important in a number of applications. In this paper we shall be chiefly interested in the case where the columns of A represent factors or carriers in a linear model which is to be fit to a vector of observations b. In some such applications, where the elements of A can be specified exactly (e.g. the analysis of variance), the presence of rank degeneracy in A can be dealt with by explicit mathematical formulas and causes no essential difficulties. In other applications, however, the presence of degeneracy is not at all obvious, and the failure to detect it can result in meaningless results or even the catastrophic failure of the numerical algorithms being used to solve the problem. The organization of this paper is the following. In the next section we shall give a precise definition of approximate degeneracy in terms of the singular value decomposition of A. In Section 3 we shall show that under certain conditions there is associated with A a subspace that is insensitive to how it is approximated by various choices of the columns of A, and in Section 4 we shall apply this result to the solution of the least squares problem. Sections 5, 6, and 7 will be concerned with algorithms for selecting a basis for the stable subspace from among the columns of A
2 editions published in 1977 in English and held by 0 WorldCat member libraries worldwide
In this paper we shall be concerned with the following problem. Let A be an m x n matrix with m being greater than or equal to n, and suppose that A is near (in a sense to be made precise later) a matrix B whose rank is less than n. Can one find a set of linearly independent columns of A that span a good approximation to the column space of B? The solution of this problem is important in a number of applications. In this paper we shall be chiefly interested in the case where the columns of A represent factors or carriers in a linear model which is to be fit to a vector of observations b. In some such applications, where the elements of A can be specified exactly (e.g. the analysis of variance), the presence of rank degeneracy in A can be dealt with by explicit mathematical formulas and causes no essential difficulties. In other applications, however, the presence of degeneracy is not at all obvious, and the failure to detect it can result in meaningless results or even the catastrophic failure of the numerical algorithms being used to solve the problem. The organization of this paper is the following. In the next section we shall give a precise definition of approximate degeneracy in terms of the singular value decomposition of A. In Section 3 we shall show that under certain conditions there is associated with A a subspace that is insensitive to how it is approximated by various choices of the columns of A, and in Section 4 we shall apply this result to the solution of the least squares problem. Sections 5, 6, and 7 will be concerned with algorithms for selecting a basis for the stable subspace from among the columns of A
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Van Loan, Charles F.
 Meurant, Gérard A. Author
 Tyrtyshnikov, E. E. (Evgeniĭ Evgenʹevich) Editor
 Olshevsky, Vadim 1961 Editor
 Chan, Raymond H. 1958 Editor
 O'Leary, Dianne P. Editor
 Greif, Chen 1965 Editor
 Ortega, James M. 1932 Author
 Mathematical Association of America
 De Boor, Carl Author Editor
Useful Links
Associated Subjects
Algebras, Linear Algebras, LinearData processing Algorithms Amarel, Saul American Federation of Information Processing Societies Artificial intelligence Baskett, Forest Buchanan, Bruce G Computer industry Computer programs Computer science Differential equationsNumerical solutions Differential equationsNumerical solutionsData processing Dijkstra, Edsger W Eigenvalues Electronic data processing Engineering EquationsNumerical solutions Feigenbaum, Edward A Floyd, Robert W Forsythe, Alexandra I Gibbons, James F Golub, Gene H.(Gene Howard), Herriot, John G.(John George), Iterative methods (Mathematics) Iterative methods (Mathematics)Data processing Knuth, Donald Ervin, Linear systems Matrices MatricesData processing Matrix groups McCarthy, John, Miller, William F Newell, Allen Nilsson, Nils J., Numerical analysis Oliver, Bernard M., Parallel processing (Electronic computers) Problem solving Reddy, D. Raj(Dabbala Raj), Science ScienceData processing Signal processing Signal processingDigital techniques Stanford Artificial Intelligence Laboratory Stanford University.Computer Science Department Traub, J. F.(Joseph Frederick), Vector processing (Computer science) Wiederhold, Gio Winograd, Terry
Alternative Names
Gene Golub
Gene Golub matematico e informatico statunitense
Gene H. Golub Amerikaans wiskundige (19322007)
Gene H. Golub amerikansk matematikar
Gene H. Golub amerikansk matematiker
Gene H. Golub matematico e informatico statunitense
Gene H. Golub mathématicien américain
Gene H. Golub USamerikanischer Mathematiker
Golub, G. 19322007
Golub, G.H.
Golub, G. H. 1932
Golub, G. H. 19322007
Golub, G. H. (Gene Howard), 1932
Golub, G. H. (Gene Howard), 19322007
Golub, Gene.
Golub, Gene 1932
Golub, Gene 19322007
Golub, Gene H.
Golub, Gene H. 1932
Golub, Gene H. 19322007
Golub, Gene H. (Gene Howard)
Golub, Gene Howard
Golub, Gene Howard 1932
Golub, Gene Howard 19322007
Howard Golub, G. 19322007
Howard Golub, Gene 19322007
جن قلاب
جن گلاب ریاضیدان آمریکایی
Languages
Covers