Comparison theorems for weak splittings in respect to a proper cone of nonsingular matrices

DOI10.1016/S0024-3795(99)00158-5zbMath0948.65030WikidataQ127662430 ScholiaQ127662430MaRDI QIDQ1970448

Carmen Perea, Joan-Josep Climent

Publication date: 21 March 2000

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

zbMATH Keywords

iterative methodproper conecomparison conditions\(K\)-irreducible matrix\(K\)-nonnegative matrixweak nonnegative splittings

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10)

Related Items (3)

On the convergence theory of double \(K\)-weak splittings of type II. ⋮ Convergence of two-stage iterative scheme for \(K\)-weak regular splittings of type II ⋮ Further results on regular splittings and multisplittings

Cites Work

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• Comparisons of regular splittings of matrices
• A note on comparison theorems for nonnegative matrices
• Comparisons of nonnegative splittings of matrices
• Comparison theorems for weak splittings of bounded operators
• Comparisons of weak regular splittings and multisplitting methods
• Some comparison theorems for weak nonnegative splittings of bounded operators
• Some comparison theorems for nonnegative splittings of matrices
• Nonnegative splitting theory
• Convergence of nested classical iterative methods for linear systems
• Comparison theorems for weak nonnegative splittings of K-monotone matrices
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications

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