A Class of Arbitrarily Ill Conditioned Floating-Point Matrices

DOI10.1137/0612049zbMath0738.65042OpenAlexW2044388105MaRDI QIDQ3980608

Siegfried Michael Rump

Publication date: 26 June 1992

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fb8d584dc0d65db69fe7d5b5c3af82538febbb55

zbMATH Keywords

sensitivitycondition numbermatrix inversionfloating-point number systemill conditioned matrices

Mathematics Subject Classification ID

Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Conditioning of matrices (15A12)

Related Items (5)

Convergence of Rump's method for inverting arbitrarily ill-conditioned matrices ⋮ Inversion of extremely ill-conditioned matrices in floating-point ⋮ Iterative refinement for ill-conditioned linear systems ⋮ Convergence analysis of an algorithm for accurate inverse Cholesky factorization ⋮ Convergence of Rump’s method for computing the Moore-Penrose inverse

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