On Nekrasov matrices

DOI10.1016/S0024-3795(98)10031-9zbMath0937.15019MaRDI QIDQ1808950

Wen Li

Publication date: 14 June 2000

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

zbMATH Keywords

chain conditionnonsingularitydiagonally dominant matrixNekrasov matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (30)

A convergence analysis of SOR iterative methods for linear systems with weak \(H\)-matrices ⋮ An improvement of the error bounds for linear complementarity problems of Nekrasov matrices ⋮ Norm bounds for the inverse and error bounds for linear complementarity problems for {P1,P2}-Nekrasov matrices ⋮ Some new two-sided bounds for determinants of diagonally dominant matrices ⋮ The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications ⋮ On subdirect sums of Nekrasov matrices ⋮ Simple criteria for nonsingular H-matrices. ⋮ Max-norm bounds for the inverse of \(S\)-Nekrasov matrices ⋮ Subdirect sums of QN-matrices ⋮ CKV-type matrices with applications ⋮ New upper bounds for the infinity norm of Nekrasov matrices ⋮ Scaling technique for partition-Nekrasov matrices ⋮ An infinity norm bound for the inverse of Dashnic-Zusmanovich type matrices with applications ⋮ The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method ⋮ New error bounds for the linear complementarity problem of \(QN\)-matrices ⋮ Extended irreducible Nekrasov matrices as subclasses of irreducible \(H\)-matrices ⋮ New error bounds for linear complementarity problems of Nekrasov matrices and \(B\)-Nekrasov matrices ⋮ The infinity norm bound for the inverse of nonsingular diagonal dominant matrices ⋮ Sufficient conditions for H-matrices ⋮ Estimates for bounds of some numerical characters of matrices ⋮ Generalizations of Nekrasov matrices and applications ⋮ Schur complement-based infinity norm bounds for the inverse of SDD matrices ⋮ \(H\)-matrices and \(S\)-doubly diagonally dominant matrices ⋮ Subdirect sums of Nekrasov matrices ⋮ Note on error bounds for linear complementarity problems of Nekrasov matrices ⋮ Special \(H\)-matrices and their Schur and diagonal-Schur complements ⋮ A matrix analysis approach to discrete comparison principles for nonmonotone PDE ⋮ An improvement of the infinity norm bound for the inverse of \(\{P_1,P_2\}\)-Nekrasov matrices ⋮ A new upper bound on the infinity norm of the inverse of Nekrasov matrices ⋮ Improvements on the infinity norm bound for the inverse of Nekrasov matrices

Cites Work

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• Some remarks on a theorem of Gudkov
• A note on generalized diagonally dominant matrices
• Theorems on M-splittings of a singular M-Matrix which depend on graph structure
• Blocs-H-matrices et convergence des méthodes itératives classiques par blocs
• Bounds for determinants

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