Applications of Partial Orderings to the Study of Positive Definiteness, Monotonicity, and Convergence of Iterative Methods for Linear Systems

DOI10.1137/0709011zbMath0204.48201OpenAlexW1964614927MaRDI QIDQ5604167

Publication date: 1972

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0709011

Related Items (18)

Interval hulls of \(N\)-matrices and almost \(P\)-matrices ⋮ A note on generalization of strict diagonal dominance for real matrices ⋮ Computational methods of linear algebra ⋮ On the convergence of subproper (multi)-splitting methods for solving rectangular linear systems ⋮ Proper splittings and reduced solutions of matrix equations ⋮ Regular splittings and the discrete Neumann problem ⋮ A note on irreducibility for linear operators on partially ordered finite dimensional vector spaces ⋮ Subproper splitting for rectangular matrices ⋮ Computational methods for generalized inverse matrices arising from proper splittings ⋮ Eight types of matrix monotonicity ⋮ Convergence of parallel multisplitting iterative methods for M-matrices ⋮ On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\) ⋮ Some applications of partial orderings to iterative methods for rectangular linear systems ⋮ Classes of stable and semipositive matrices ⋮ Convergence and quotient convergence of iterative methods for solving singular linear equations with index one ⋮ Comparison theorems for the convergence factor of iterative methods for singular matrices ⋮ Subproper and regular splittings for restricted rectangular linear system ⋮ Numerical simulation of liquid redistribution in permeable media involving hysteresis.

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