Van Loan, Charles F.
Most widely held works by Charles F Van Loan
Matrix computations by Gene H Golub ( Book )
83 editions published between 1983 and 2013 in 3 languages and held by 2,312 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
Handbook for matrix computations by Thomas F Coleman ( Book )
20 editions published between 1988 and 1991 in English and held by 535 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
Computational frameworks for the fast fourier transform by Charles F Van Loan ( Book )
18 editions published in 1992 in English and held by 423 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 algorithms--a critical connection as more advanced machines become available. A stylized Matlab notation, which is familiar to those engaged in high-performance 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
Introduction to scientific computing : a matrix-vector approach using MATLAB by Charles F Van Loan ( Book )
17 editions published between 1997 and 2000 in English and held by 392 WorldCat member libraries worldwide
Introduction to computational science and mathematics by Charles F Van Loan ( Book )
7 editions published in 1996 in English and held by 222 WorldCat member libraries worldwide
Mathematics of Computing -- Numerical Analysis
Insight through computing : a MATLAB introduction to computational science and engineering by Charles F Van Loan ( Book )
8 editions published in 2010 in English and held by 199 WorldCat member libraries worldwide
This introduction to computer-based problem-solving 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 first-time 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 problem-solving 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
Programming for poets : a gentle introduction using PL/1 by Richard Walter Conway ( Book )
2 editions published in 1978 in English and held by 96 WorldCat member libraries worldwide
If Copernicus had a computer by Charles F Van Loan ( Visual )
3 editions published in 1996 in English and held by 21 WorldCat member libraries worldwide
In a lecture presented at the 1995 SIAM Annual Meeting, October 23-26, 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 survey of matrix computations by Charles F Van Loan ( Book )
4 editions published between 1990 and 1992 in English and held by 6 WorldCat member libraries worldwide
Ju zhen ji suan by Gene H Golub ( Book )
2 editions published between 2001 and 2011 in Chinese and held by 5 WorldCat member libraries worldwide
On estimating the condition of eigenvalues and eigenvectors by Charles F Van Loan ( Book )
1 edition published in 1986 in English and held by 4 WorldCat member libraries worldwide
A block QR factorization scheme for loosely coupled systems of array processors by Charles F Van Loan ( Book )
3 editions published between 1986 and 1987 in English and held by 4 WorldCat member libraries worldwide
Computation of the generalized singular value decomposition using mesh-connected processors by R. P Brent ( Book )
3 editions published in 1983 in English and held by 4 WorldCat member libraries worldwide
This paper concerns the systolic array computation of the generalized singular value decomposition. Numerical algorithms for both one and two-dimensional systolic architectures are discussed
A Hessenberg-Schur method for the problem AX + XB=C by Gene H Golub ( Book )
3 editions published between 1978 and 1979 in English and held by 4 WorldCat member libraries worldwide
One of the most effective methods for solving the matrix equation AX + XB = C is the Bartels-Stewart 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 Bartels-Stewart 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
Approximation with Kronecker products by Charles F Van Loan ( )
2 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
Vectorization of multiple small matrix problems by Nikos Pitsianis ( )
2 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
On Stewart's singular value decomposition for partitioned orthogonal matrices by Charles F Van Loan ( Book )
3 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
Matrix computations and signal processing by Charles F Van Loan ( Book )
1 edition published in 1987 in English and held by 4 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 direction-of-arrival 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
Generalized singular values with algorithms and applications by Charles F Van Loan ( Book )
2 editions published between 1973 and 1988 in English and held by 4 WorldCat member libraries worldwide
GEMM-based level-3 BLAS by B Kågström ( )
2 editions published in 1991 in English and held by 4 WorldCat member libraries worldwide
Algebras, Linear Algebras, Linear--Data processing Algorithms Array processors Astronomical models Astronomy--Computer simulation Computer architecture Computer programming Computer science--Mathematics Copernicus, Nicolaus, Decomposition (Mathematics) Eigenvalues--Data processing Engineering mathematics--Data processing Estimation theory Factorization (Mathematics)--Data processing Fourier transformations Kronecker products Mathematics--Data processing MATLAB Matrices Matrices--Data processing Matrix groups Numerical analysis--Data processing Parallel processing (Electronic computers) Parallel programming (Computer science) PL/I (Computer program language) Science--Computer simulation Signal processing
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