Van Loan, Charles F.
Overview
Works:  70 works in 353 publications in 5 languages and 4,942 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Thesis advisor 
Publication Timeline
.
Most widely held works by
Charles F Van Loan
Matrix computations by
Gene H Golub(
Book
)
100 editions published between 1983 and 2013 in 4 languages and held by 2,467 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
100 editions published between 1983 and 2013 in 4 languages and held by 2,467 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
Handbook for matrix computations by
Thomas F Coleman(
Book
)
31 editions published between 1988 and 1991 in 3 languages and held by 517 WorldCat member libraries worldwide
"This handbook can be used as a reference by those actively engaged in scientific computation. It can also serve as a practical companion text in a numerical methods course that involves a significant amount of linear algebraic computation. The book has four chapters, each being fairly independent of the others."Preface
31 editions published between 1988 and 1991 in 3 languages and held by 517 WorldCat member libraries worldwide
"This handbook can be used as a reference by those actively engaged in scientific computation. It can also serve as a practical companion text in a numerical methods course that involves a significant amount of linear algebraic computation. The book has four chapters, each being fairly independent of the others."Preface
Introduction to scientific computing : a matrixvector approach using MATLAB by
Charles F Van Loan(
Book
)
22 editions published between 1997 and 2005 in English and held by 444 WorldCat member libraries worldwide
22 editions published between 1997 and 2005 in English and held by 444 WorldCat member libraries worldwide
Computational frameworks for the fast fourier transform by
Charles F Van Loan(
Book
)
24 editions published in 1992 in English and held by 401 WorldCat member libraries worldwide
The most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithmsa critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in highperformance computing, is used. The Fast Fourier Transform (FFT) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline. This volume is essential for professionals interested in linear algebra as well as those working with numerical methods. The FFT is also a great vehicle for teaching key aspects of scientific computing
24 editions published in 1992 in English and held by 401 WorldCat member libraries worldwide
The most comprehensive treatment of FFTs to date. Van Loan captures the interplay between mathematics and the design of effective numerical algorithmsa critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in highperformance computing, is used. The Fast Fourier Transform (FFT) family of algorithms has revolutionized many areas of scientific computation. The FFT is one of the most widely used algorithms in science and engineering, with applications in almost every discipline. This volume is essential for professionals interested in linear algebra as well as those working with numerical methods. The FFT is also a great vehicle for teaching key aspects of scientific computing
Insight through computing : a MATLAB introduction to computational science and engineering by
Charles F Van Loan(
Book
)
14 editions published in 2010 in English and held by 190 WorldCat member libraries worldwide
This introduction to computerbased problemsolving using the MATLAB environment is highly recommended for students wishing to learn the concepts and develop the programming skills that are fundamental to computational science and engineering (CSE). Through a 'teaching by examples' approach, the authors pose strategically chosen problems to help firsttime programmers learn these necessary concepts and skills. Each section formulates a problem and then introduces those new MATLAB language features that are necessary to solve it. This approach puts problemsolving and algorithmic thinking first and syntactical details second. Each solution is followed by a 'talking point' that concerns some related, larger issue associated with CSE. Collectively, the worked examples, talking points, and 300+ homework problems build intuition for the process of discretization and an appreciation for dimension, inexactitude, visualization, randomness, and complexity. This sets the stage for further coursework in CSE areas
14 editions published in 2010 in English and held by 190 WorldCat member libraries worldwide
This introduction to computerbased problemsolving using the MATLAB environment is highly recommended for students wishing to learn the concepts and develop the programming skills that are fundamental to computational science and engineering (CSE). Through a 'teaching by examples' approach, the authors pose strategically chosen problems to help firsttime programmers learn these necessary concepts and skills. Each section formulates a problem and then introduces those new MATLAB language features that are necessary to solve it. This approach puts problemsolving and algorithmic thinking first and syntactical details second. Each solution is followed by a 'talking point' that concerns some related, larger issue associated with CSE. Collectively, the worked examples, talking points, and 300+ homework problems build intuition for the process of discretization and an appreciation for dimension, inexactitude, visualization, randomness, and complexity. This sets the stage for further coursework in CSE areas
Introduction to computational science and mathematics by
Charles F Van Loan(
Book
)
7 editions published in 1996 in English and held by 135 WorldCat member libraries worldwide
Mathematics of Computing  Numerical Analysis
7 editions published in 1996 in English and held by 135 WorldCat member libraries worldwide
Mathematics of Computing  Numerical Analysis
Programming for poets : a gentle introduction using PL/1 by
Richard Walter Conway(
Book
)
5 editions published in 1978 in English and held by 90 WorldCat member libraries worldwide
5 editions published in 1978 in English and held by 90 WorldCat member libraries worldwide
Exploiting hidden structure in matrix computations : algorithms and applications : Cetraro, Italy 2015 by
Michele Benzi(
Book
)
10 editions published in 2016 in English and German and held by 67 WorldCat member libraries worldwide
Focusing on special matrices and matrices which are in some sense ǹear' to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with lowrank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitztype matrices, and matrices with semiseparable or quasiseparable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives
10 editions published in 2016 in English and German and held by 67 WorldCat member libraries worldwide
Focusing on special matrices and matrices which are in some sense ǹear' to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with lowrank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitztype matrices, and matrices with semiseparable or quasiseparable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives
If Copernicus had a computer by
Charles F Van Loan(
Visual
)
3 editions published in 1996 in English and held by 12 WorldCat member libraries worldwide
In a lecture presented at the 1995 SIAM Annual Meeting, October 2326, 1995, in Charlotte, N.C., Van Loan wonders if Copernicus would have been as bold a scientist if he had access to 1995 computers
3 editions published in 1996 in English and held by 12 WorldCat member libraries worldwide
In a lecture presented at the 1995 SIAM Annual Meeting, October 2326, 1995, in Charlotte, N.C., Van Loan wonders if Copernicus would have been as bold a scientist if he had access to 1995 computers
A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix by
Charles F Van Loan(
Book
)
7 editions published between 1982 and 1984 in English and held by 9 WorldCat member libraries worldwide
A fast method for computing all the eigenvalues of a Hamiltonian matrix M is given. The method relies on orthogonal symplectic similarity transformations which preserve structure and have desirable numerical properties. The algorithm is about four times faster than the standard QR algorithm. The computed eigenvalues are shown to be the exact eigenvalues of a matrix M+E where $\Vert E \Vert$ depends on the square root of the machine precision. The accuracy of a computed eigenvalue depends on its condition and its magnitude, larger eigenvalues typically being more accurate
7 editions published between 1982 and 1984 in English and held by 9 WorldCat member libraries worldwide
A fast method for computing all the eigenvalues of a Hamiltonian matrix M is given. The method relies on orthogonal symplectic similarity transformations which preserve structure and have desirable numerical properties. The algorithm is about four times faster than the standard QR algorithm. The computed eigenvalues are shown to be the exact eigenvalues of a matrix M+E where $\Vert E \Vert$ depends on the square root of the machine precision. The accuracy of a computed eigenvalue depends on its condition and its magnitude, larger eigenvalues typically being more accurate
A HessenbergSchur method for the problem AX+XB=C by
Gene H Golub(
Book
)
7 editions published between 1978 and 1979 in English and held by 7 WorldCat member libraries worldwide
One of the most effective methods for solving the matrix equation AX + XB = C is the BartelsStewart algorithm. Key to this technique is the orthogonal reduction of A and B to triangular form using the QR algorithm for eigenvalues. A new method is proposed which differs from the BartelsStewart algorithm in that A is only reduced to Hessenberg form. The resulting algorithm is between 30 and 70 percent faster depending upon the dimensions of the matrices A and B. The stability of the new method is demonstrated through a roundoff error analysis and supported by numerical tests. Fianlly, it is shown how the techniques described can be applied and generalized to other matrix equation problems
7 editions published between 1978 and 1979 in English and held by 7 WorldCat member libraries worldwide
One of the most effective methods for solving the matrix equation AX + XB = C is the BartelsStewart algorithm. Key to this technique is the orthogonal reduction of A and B to triangular form using the QR algorithm for eigenvalues. A new method is proposed which differs from the BartelsStewart algorithm in that A is only reduced to Hessenberg form. The resulting algorithm is between 30 and 70 percent faster depending upon the dimensions of the matrices A and B. The stability of the new method is demonstrated through a roundoff error analysis and supported by numerical tests. Fianlly, it is shown how the techniques described can be applied and generalized to other matrix equation problems
Computation of the generalized singular value decomposition using meshconnected processors by
R. P Brent(
Book
)
4 editions published in 1983 in English and held by 6 WorldCat member libraries worldwide
This paper concerns the systolic array computation of the generalized singular value decomposition. Numerical algorithms for both one and twodimensional systolic architectures are discussed
4 editions published in 1983 in English and held by 6 WorldCat member libraries worldwide
This paper concerns the systolic array computation of the generalized singular value decomposition. Numerical algorithms for both one and twodimensional systolic architectures are discussed
On estimating the condition of eigenvalues and eigenvectors by
Charles F Van Loan(
Book
)
3 editions published in 1986 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1986 in English and held by 6 WorldCat member libraries worldwide
A block QR factorization scheme for loosely coupled systems of array processors by
Charles F Van Loan(
Book
)
7 editions published between 1986 and 1987 in English and held by 6 WorldCat member libraries worldwide
7 editions published between 1986 and 1987 in English and held by 6 WorldCat member libraries worldwide
Matrix computations and signal processing by
Charles F Van Loan(
Book
)
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
The interactions between the signal processing and matrix computation areas is explored by examining some subspace dimension estimation problems that arise in a pair of directionofarrival algorithms: MUSIC and ESPRIT. We show that the intelligent handling of these numerical problems requires a successful intermingling of perturbation theory, sensible problem formulation, and reliance upon unitary matrix methods
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
The interactions between the signal processing and matrix computation areas is explored by examining some subspace dimension estimation problems that arise in a pair of directionofarrival algorithms: MUSIC and ESPRIT. We show that the intelligent handling of these numerical problems requires a successful intermingling of perturbation theory, sensible problem formulation, and reliance upon unitary matrix methods
A storage efficient WY representation for products of householder transformations by Robert Schreiber(
Book
)
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
A unitary method for the ESPRIT directionofarrival estimation algorithm by
Charles F Van Loan(
Book
)
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
ESPRIT is an interesting new method for solving the DirectionofArrival estimation problem. It involves some rather tricky matrix manipulations. We show how these calculations can be carried out using only unitary transformations of the data. No inverses or crossproducts are required making the new method extremely robust
3 editions published in 1987 in English and held by 5 WorldCat member libraries worldwide
ESPRIT is an interesting new method for solving the DirectionofArrival estimation problem. It involves some rather tricky matrix manipulations. We show how these calculations can be carried out using only unitary transformations of the data. No inverses or crossproducts are required making the new method extremely robust
Computer science and the liberal arts student by
Charles F Van Loan(
Book
)
2 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
Key Words and Phrases: Computer literacy, liberal arts student, liberal education, history of computation, scientific literacy
2 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
Key Words and Phrases: Computer literacy, liberal arts student, liberal education, history of computation, scientific literacy
A survey of matrix computations by
Charles F Van Loan(
Book
)
3 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
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Related Identities
 Golub, Gene H. (Gene Howard) 19322007 Author
 Coleman, Thomas F. (Thomas Frederick) 1950 Author
 Society for Industrial and Applied Mathematics Other Publisher
 Simoncini, V. (Valeria) Editor
 Kressner, Daniel
 Benzi, Michele Author Editor
 Bini, Dario
 MuntheKaas, Hans
 Fan, K.Y. Daisy
 Conway, Richard Walter 1931 Author
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Associated Subjects
Algebras, Linear Algorithms Array processors Astronomical models AstronomyComputer simulation Computer architecture Computer programming Computer scienceMathematics ComputersStudy and teaching (Higher) Copernicus, Nicolaus, Eigenvalues EigenvaluesData processing Engineering mathematicsData processing Estimation theory Factorization (Mathematics)Data processing Fourier transformations Graph theory Hamiltonian systems Hamiltonian systemsData processing Mathematics MathematicsData processing MATLAB Matrices MatricesData processing Matrix groups Matrix mechanics Numerical analysis Numerical analysisData processing Parallel processing (Electronic computers) Parallel programming (Computer science) PL/I (Computer program language) Problem solving ScienceComputer simulation Signal processing Symmetry (Mathematics) Transformations (Mathematics)
Alternative Names
Charles F. Van Loan Amerikaans wiskundige
Charles Van Loan USamerikanischer Mathematiker und Informatiker
Loan Charles F. Van
Loan, Charles van
Van Loan, C.
Van Loan, C. F.
Van Loan, Charles.
Van Loan, Charles F.
Van Loan, Charles Francis
VanLoan, C.
VanLoan, C. F.
VanLoan, Charles
VanLoan, Charles F.
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