Recent Advances in Iterative Methods

This IMA Volume in Mathematics and its Applications RECENT ADVANCES IN ITERATIVE METHODS is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra. " Large systems of matrix equations arise frequently in applications and they...

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Bibliographic Details
Other Authors: Golub, Gene (Editor), Greenbaum, Anne (Editor), Luskin, Mitchell (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1994, 1994
Edition:1st ed. 1994
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Some Themes in Gene H. Golub’s Work on Iterative Methods
  • Computing the Sparse Singular Value Decomposition via SVDPACK
  • Gaussian Quadrature Applied to Adaptive Chebyshev Iteration
  • Ordering Effects on Relaxation Methods Applied to the Discrete Convection-Diffusion Equation
  • On the Error Computation for Polynomial Based Iteration Methods
  • Transpose-Free Quasi-Minimal Residual Methods for non-Hermitian Linear Systems
  • Matrices that Generate the Same Krylov Residual Spaces
  • Incomplete Block Factorizations as Preconditioners for Sparse SPD Matrices
  • How Fast Can Iterative Methods Be?
  • Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems
  • Highly Parallel Preconditioners for General Sparse Matrices
  • A Two-Stage Iteration for Solving Nearly Completely Decomposable Markov Chains
  • Minimum Residual Modifications to Bi-CG and to the Preconditioner