LDU decompositions with \(L\) and \(U\) well conditioned
From MaRDI portal
Publication:2388688
zbMath1083.65033MaRDI QIDQ2388688
Publication date: 19 September 2005
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/125730
singular value decompositionaccuracyconditioning\(M\)-matricesdiagonal dominancepivoting strategiesStieltjes matricesLDU decompositions
Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05) Conditioning of matrices (15A12)
Related Items (13)
Accurate determinants of some classes of matrices ⋮ Total Positivity: A New Inequality and Related Classes of Matrices ⋮ Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices ⋮ Accurate eigenvalues of certain sign regular matrices ⋮ Accurate inverses for computing eigenvalues of extremely ill-conditioned matrices and differential operators ⋮ Accurate and efficient \(LDU\) decomposition of almost diagonally dominant \(Z\)-matrices ⋮ Accurate inverses of Nekrasov \(Z\)-matrices ⋮ Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices ⋮ Generalized fraction-free \(LU\) factorization for singular systems with kernel extraction ⋮ Accurate Computations and Applications of Some Classes of Matrices ⋮ Computing singular values of diagonally dominant matrices to high relative accuracy ⋮ On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices ⋮ Matrices with Bidiagonal Decomposition, Accurate Computations and Corner Cutting Algorithms
Uses Software
This page was built for publication: LDU decompositions with \(L\) and \(U\) well conditioned
