Computational methods in linear algebra

DOI10.1016/0021-9991(84)90140-2zbMath0531.65009OpenAlexW2075494260MaRDI QIDQ788456

James M. Varah

Publication date: 1984

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90140-2

zbMATH Keywords

singular value decompositionleast squareseigenvalue problemssurvey of recent developments in computational linear algebra

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical linear algebra (65Fxx)

Related Items

A non-selfadjoint general matrix eigenvalue problem

Uses Software

• LINPACK
• COLROW
• symrcm
• ARCELO

Cites Work

• The Tchebychev iteration for nonsymmetric linear systems
• Singular value decomposition and least squares solutions
• FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
• The Numerical Stability of the Levinson-Durbin Algorithm for Toeplitz Systems of Equations
• Alternate Row and Column Elimination for Solving Certain Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• An Algorithm for Generalized Matrix Eigenvalue Problems
• On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems
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