Golub, Gene H. (Gene Howard) 19322007
Overview
Works:  264 works in 683 publications in 5 languages and 9,968 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Secretary, Honoree, Creator, Dedicatee 
Classifications:  QA188, 512.9434 
Publication Timeline
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Most widely held works about
Gene H Golub
 Matrix methods theory, algorithms and applications : dedicated to the memory of Gene Golub ( )
 Milestones in matrix computation selected works of Gene H. Golub, with commentaries by Gene H Golub Gene H Golub( )
 Charles Babbage Institute Oral history collection by Charles Babbage InstituteCharles Babbage Institute( )
 Computer Science at Stanford; the impact of the first ten years : by Stanford UniversityStanford University( )
 The living legends: a discussion about the establishment of the Computer Science Department at Stanford University : ( )
 Oral history collection : by Charles Babbage InstituteCharles Babbage Institute( )
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Most widely held works by
Gene H Golub
Matrix computations
by
Gene H Golub(
Book
)
98 editions published between 1983 and 2013 in 4 languages and held by 2,386 WorldCat member libraries worldwide
"Thoroughly revised, updated, and expanded by more than one third, this new edition of Golub and Van Loan's landmark book in scientific computing provides the vital mathematical background and algorithmic skills required for the production of numerical software. New chapters on high performance computing use matrix multiplication to show how to organize a calculation for vector processors as well as for computers with shared or distributed memories. A.so new are discussions of parallel vector methods for linear equations, least squares, and eigenvalue problems."Back cover
98 editions published between 1983 and 2013 in 4 languages and held by 2,386 WorldCat member libraries worldwide
"Thoroughly revised, updated, and expanded by more than one third, this new edition of Golub and Van Loan's landmark book in scientific computing provides the vital mathematical background and algorithmic skills required for the production of numerical software. New chapters on high performance computing use matrix multiplication to show how to organize a calculation for vector processors as well as for computers with shared or distributed memories. A.so new are discussions of parallel vector methods for linear equations, least squares, and eigenvalue problems."Back cover
Matrices, moments, and quadrature with applications
by
Gene H Golub(
)
11 editions published in 2010 in English and held by 1,261 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
11 editions published in 2010 in English and held by 1,261 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
Studies in numerical analysis
by
Gene H Golub(
Book
)
14 editions published in 1984 in 3 languages and held by 529 WorldCat member libraries worldwide
14 editions published in 1984 in 3 languages and held by 529 WorldCat member libraries worldwide
Scientific computing : an introduction with parallel computing
by
Gene H Golub(
Book
)
17 editions published between 1993 and 1997 in English and held by 466 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
17 editions published between 1993 and 1997 in English and held by 466 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
)
20 editions published between 1978 and 1985 in English and held by 431 WorldCat member libraries worldwide
20 editions published between 1978 and 1985 in English and held by 431 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 404 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 404 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
)
23 editions published between 1978 and 1979 in English and Undetermined and held by 368 WorldCat member libraries worldwide
Positive functions and some applications to stability questions for numerical methods; Constructive polynomial approximation in sobolev spaces; Questions of numerical condition related to polynomials; Global homotopies and newton methods; Problems with different time scales; Accuracy and resolution in the computation of solutions of linear and nonlinear equations; Finite element approximation to the onedimensional stefan problem; The hodie method and its performance for solving elliptic partial differential equations; Solving ODE's with discrete data in SPEAKEASY; Perturbation theory for the generalized eigenvalue problem; Some remarks on good, simple, and optimal quadrature formulas; Linear differential equations and kronecker's canonical form
23 editions published between 1978 and 1979 in English and Undetermined and held by 368 WorldCat member libraries worldwide
Positive functions and some applications to stability questions for numerical methods; Constructive polynomial approximation in sobolev spaces; Questions of numerical condition related to polynomials; Global homotopies and newton methods; Problems with different time scales; Accuracy and resolution in the computation of solutions of linear and nonlinear equations; Finite element approximation to the onedimensional stefan problem; The hodie method and its performance for solving elliptic partial differential equations; Solving ODE's with discrete data in SPEAKEASY; Perturbation theory for the generalized eigenvalue problem; Some remarks on good, simple, and optimal quadrature formulas; Linear differential equations and kronecker's canonical form
Inverse Eigenvalue problems : theory, algorithms, and applications
by
Moody Chu(
Book
)
16 editions published between 2005 and 2007 in English and held by 268 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."BOOK JACKET
16 editions published between 2005 and 2007 in English and held by 268 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."BOOK JACKET
Milestones in matrix computation selected works of Gene H. Golub, with commentaries
by
Gene H Golub(
)
7 editions published in 2007 in English and held by 245 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
7 editions published in 2007 in English and held by 245 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
Recent advances in iterative methods
by
Gene H Golub(
Book
)
7 editions published in 1994 in English and Undetermined and held by 219 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
7 editions published in 1994 in English and Undetermined and held by 219 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
)
16 editions published between 1988 and 1991 in English and held by 199 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
16 editions published between 1988 and 1991 in English and held by 199 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
Applications and computation of orthogonal polynomials : conference at the Mathematical Research Institute Oberwolfach, Germany, March 2228, 1998
by
Walter Gautschi(
Book
)
7 editions published in 1999 in English and held by 173 WorldCat member libraries worldwide
This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Prominent among the former are leastsquares approximations, Gauss and related quadrature, iterative methods in linear algebra, the detection of singularities, and integral equations. Applications of the latter kind include the use of wavelets in medical diagnostics and the relevance of orthogonal polynomials in optimal control, dynamical systems, and gas dynamics. Computational methods relate to numerical and symbolic computation and include, in particular, matrix interpretation and convergence, perturbation, and stability analyses of relevant algorithms. Generalizations of orthogonal polynomials are also considered, for example, sorthogonal, matrix and tensorvalued, Mntztype, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists
7 editions published in 1999 in English and held by 173 WorldCat member libraries worldwide
This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Prominent among the former are leastsquares approximations, Gauss and related quadrature, iterative methods in linear algebra, the detection of singularities, and integral equations. Applications of the latter kind include the use of wavelets in medical diagnostics and the relevance of orthogonal polynomials in optimal control, dynamical systems, and gas dynamics. Computational methods relate to numerical and symbolic computation and include, in particular, matrix interpretation and convergence, perturbation, and stability analyses of relevant algorithms. Generalizations of orthogonal polynomials are also considered, for example, sorthogonal, matrix and tensorvalued, Mntztype, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists
Iterative methods in scientific computing
(
Book
)
5 editions published in 1997 in English and held by 141 WorldCat member libraries worldwide
5 editions published in 1997 in English and held by 141 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
)
8 editions published between 1993 and 2011 in English and held by 107 WorldCat member libraries worldwide
8 editions published between 1993 and 2011 in English and held by 107 WorldCat member libraries worldwide
Résolution numérique des grands systèmes linéaires
by
Gene H Golub(
Book
)
7 editions published in 1983 in French and Undetermined and held by 100 WorldCat member libraries worldwide
7 editions published in 1983 in French and Undetermined and held by 100 WorldCat member libraries worldwide
Proceedings of the Workshop on Scientific Computing : Hong Kong, 1012 March, 1997
by Workshop on Scientific Computing(
Book
)
3 editions published between 1997 and 1998 in English and held by 91 WorldCat member libraries worldwide
3 editions published between 1997 and 1998 in English and held by 91 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 70 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 70 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 62 WorldCat member libraries worldwide
5 editions published in 1995 in German and held by 62 WorldCat member libraries worldwide
Scientific computing : eine Einführung in das wissenschaftliche Rechnen und parallele Numerik
by
Gene H Golub(
Book
)
1 edition published in 1996 in German and held by 61 WorldCat member libraries worldwide
1 edition published in 1996 in German and held by 61 WorldCat member libraries worldwide
Rosetak Document 4 Rank Degeneracies and Least Square Problems
(
)
2 editions published in 1977 in English and held by 18 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 18 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
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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 Computer software Differential equationsNumerical solutions Differential equationsNumerical solutionsData processing Eigenvalues Electronic data processing EquationsNumerical solutions Feigenbaum, Edward A Floyd, Robert W Forsythe, Alexandra I Golub, Gene H.(Gene Howard), Herriot, John George, Iterative methods (Mathematics) Iterative methods (Mathematics)Data processing Knuth, Donald Ervin, Linear systems Mathematical physics Mathematics Matrices MatricesData processing McCarthy, John McCarthy, John, Miller, William F Newell, Allen Nilsson, Nils J., Numerical analysis Oliver, Bernard M., Orthogonal polynomials Parallel processing (Electronic computers) Problem solving Science ScienceData processing Signal processing Signal processingDigital techniques Software engineering Stanford Artificial Intelligence Laboratory Stanford University.Computer Science Department Telecommunication Vector processing (Computer science) Winograd, Terry
Alternative Names
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 1932
Golub, Gene Howard 19322007
Howard Golub, G. 19322007
Howard Golub, Gene 19322007
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