Invariance of the Brauer diagonal dominance in Gaussian elimination

zbMath0723.65013MaRDI QIDQ756920

Khakim D. Ikramov

Publication date: 1989

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

invarianceGaussian eliminationBrauer diagonal dominance

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05)

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On Schur complements of Dashnic–Zusmanovich type matrices ⋮ The Schur complements of \(\gamma\)-diagonally and product \(\gamma\)-diagonally dominant matrix and their disc separation ⋮ Criteria and Schur complements of \(H\)-matrices ⋮ The estimates of diagonally dominant degree and eigenvalues inclusion regions for the Schur complement of block diagonally dominant matrices ⋮ The doubly diagonally dominant degree of the Schur complement of strictly doubly diagonally dominant matrices and its applications ⋮ The Schur complement of strictly doubly diagonally dominant matrices and its application ⋮ Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices ⋮ Schur complement-based infinity norm bounds for the inverse of \(DSDD\) matrices ⋮ The dominant degree and disc theorem for the Schur complement of matrix ⋮ The estimates of diagonally dominant degree and eigenvalues distributions for the Schur complements of matrices ⋮ Theorems on Schur complement of block diagonally dominant matrices and their application in reducing the order for the solution of large scale linear systems ⋮ The Schur complements of generalized doubly diagonally dominant matrices ⋮ On Schur complements of Cvetković-Kostić-Varga type matrices

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