LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors. Release 3.0 of LAPACK introduces new routines and extends the functionality of existing routines. The most significant new routines and functions include: 1. a faster singular value decomposition computed by divide-and-conquer 2. faster routines for solving rank-deficient least squares problems: Using QR with column pivoting using the SVD based on divide-and-conquer 3. new routines for the generalized symmetric eigenproblem: faster routines based on divide-and-conquer routines based on bisection/inverse iteration, for computing part of the spectrum 4. faster routine for the symmetric eigenproblem using "relatively robust eigenvector algorithm" 5. new simple and expert drivers for the generalized nonsymmetric eigenproblem, including error bounds 6. solver for generalized Sylvester equation, used in 5 7.computational routines used in 5 Each Users' Guide comes with a ‘Quick Reference Guide’ card.
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LAPACK is a library of Fortran 77 subroutines for solving the most commonly occurring problems in numerical linear algebra. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
workspace query, irh argument, backward error estimates, unblocked algorithm, jrh column, componentwise relative backward error, general rectangular matrix, computed solution matrix, smallest relative change, elementary reflectors, leading dimension, forward error bound, generalized symmetric definite eigenproblem, upper triangular band matrix, definite band matrix, general band matrix, dqds algorithm, reciprocal condition numbers, pivot indices, definite tridiagonal matrix, equilibrated depends, generalized nonsymmetric eigenproblem, positive definite tridiagonal system, backward error bounds, approximate error bounds Key Phrases - Capitalized Phrases (CAPs): (learn more)
Intel Pentium, Routine Description, Operation Single, Sun Enterprise, Sun Ultra, Relatively Robust Representations, Mflops Mflops Time, Quick Reference Guide, True Synth True Synth Time, Distributed Memory Architectures, Mflops Mflops Dec Alpha Miata, Frequently Asked Questions, Working Note, World Wide Web New!
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LAPACK is a library of Fortran 77 subroutines for solving the most commonly occurring problems in numerical linear algebra. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
workspace query, irh argument, backward error estimates, unblocked algorithm, jrh column, componentwise relative backward error, general rectangular matrix, computed solution matrix, smallest relative change, elementary reflectors, leading dimension, forward error bound, generalized symmetric definite eigenproblem, upper triangular band matrix, definite band matrix, general band matrix, dqds algorithm, reciprocal condition numbers, pivot indices, definite tridiagonal matrix, equilibrated depends, generalized nonsymmetric eigenproblem, positive definite tridiagonal system, backward error bounds, approximate error bounds Key Phrases - Capitalized Phrases (CAPs): (learn more)
Intel Pentium, Routine Description, Operation Single, Sun Enterprise, Sun Ultra, Relatively Robust Representations, Mflops Mflops Time, Quick Reference Guide, True Synth True Synth Time, Distributed Memory Architectures, Mflops Mflops Dec Alpha Miata, Frequently Asked Questions, Working Note, World Wide Web New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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- Parallel processing: Near supercomputers for science, engineering and AI by Richard Kendall Miller on page 197, and page 198
- Matrix Perturbation Theory (Computer Science and Scientific Computing) by G. W. Stewart in Back Matter
- Perturbation Theory for Linear Operators (Classics in Mathematics) by Tosio Kato in Back Matter
- Numerical Methods (Dover Books on Mathematics) by Germund Dahlquist in Back Matter
- Lectures on Finite Precision Computations (Software, Environments, and Tools) by Francoise Chaitin-Chatelin in Front Matter
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- The Architecture of Scientific Software (IFIP Advances in Information and Communication Technology) by Ronald F. Boisvert on 4 pages
- Parallel Scientific Computing: First International Workshop, PARA '94, Lyngby, Denmark, June 20 - 23, 1994. Proceedings (Lecture Notes in Computer Science) by Jack Dongarra on 4 pages
- Mankind and the Oceans (Water Resources Management And Policy) by United Nations in Front Matter, page 71, and Back Matter
- Numerical Analysis and Its Applications: Second International Conference, NAA 2000 Rousse, Bulgaria, June 11-15, 2000. Revised Papers (Lecture Notes in Computer Science) by Lubin Vulkov on page 332, and page 339
- Enabling Technologies for Computational Science - Frameworks, Middleware and Environments by Elias N. Houstis in Back Matter (1), and Back Matter (2)
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