Perturbation Theory for Factorizations of LU Type through Series Expansions

DOI10.1137/040612142zbMath1094.65021OpenAlexW1965834210WikidataQ114074398 ScholiaQ114074398MaRDI QIDQ5470478

Froilán M. Dopico, Juan M. Molera

Publication date: 31 May 2006

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

Full work available at URL: https://semanticscholar.org/paper/e40f3d9740c699d581e69e03fe0f822e03579796

zbMATH Keywords

perturbation theoryCholesky factorizationLU factorizationblock LU factorizationforward errordiagonal pivotingblock LDL factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (9)

Stability of block \(LU\) factorization for block tridiagonal block \(H\)-matrices ⋮ Structured condition numbers for some matrix factorizations of structured matrices ⋮ Stability analysis of block factorization for complex symmetric block tridiagonal matrices ⋮ Componentwise error analysis for the block LU factorization of totally nonnegative matrices ⋮ Backward stability analysis of weighted linear least-squares problems ⋮ Perturbation and error analyses of the partitioned \textit{LU} factorization for block tridiagonal linear systems ⋮ Improved rigorous perturbation bounds for the LU and QR factorizations ⋮ Perturbation analysis of saddle-point problems ⋮ Implicit standard Jacobi gives high relative accuracy

Uses Software

• mctoolbox

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