Accurate inverses of Nekrasov \(Z\)-matrices

DOI10.1016/j.laa.2019.03.020zbMath1414.15045OpenAlexW2923836667WikidataQ128171364 ScholiaQ128171364MaRDI QIDQ2419046

Héctor Orera, Juan Manuel Peña

Publication date: 29 May 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.03.020

zbMATH Keywords

accuracyinverse\(H\)-matricesNekrasov matricesstrictly diagonally dominant matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Direct numerical methods for linear systems and matrix inversion (65F05) Sign pattern matrices (15B35)

Related Items (1)

Accurate determinants of some classes of matrices

Cites Work

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• Error bounds for linear complementarity problems of Nekrasov matrices
• Classes of general \(H\)-matrices
• Entrywise perturbation theory for diagonally dominant M-matrices with applications
• Accurate SVDs of weakly diagonally dominant M-matrices
• Some remarks on a theorem of Gudkov
• Computing the singular value decomposition with high relative accuracy
• LDU decompositions with \(L\) and \(U\) well conditioned
• The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications
• Infinity norm bounds for the inverse of Nekrasov matrices
• Subdirect sums of Nekrasov matrices
• Accurate and efficient LDU decomposition of diagonally dominant M-matrices
• NOTE ON M-MATRICES
• Accurate and efficient expression evaluation and linear algebra

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