An estimate for the spectral norm of the inverse of a matrix with the Gauss-Jordan algorithm

DOI10.1016/0377-0427(89)90027-7zbMath0683.65031OpenAlexW2081131286MaRDI QIDQ1824987

Walter Hoffmann

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90027-7

zbMATH Keywords

algorithmcondition numbercondition estimationmatrix inversespectral normGauss-Jordan method

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• LINPACK
• NUMVEC

Cites Work

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• On estimating the condition of eigenvalues and eigenvectors
• Rehabilitation of the Gauss-Jordan algorithm
• A Set of Counter-Examples to Three Condition Number Estimators
• Condition Estimates
• A Survey of Condition Number Estimation for Triangular Matrices
• The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators
• Estimating Matrix Condition Numbers
• On the stability of Gauss-Jordan elimination with pivoting
• An Estimate for the Condition Number of a Matrix

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