Linear systems with \(\Omega\)-diagonally dominant matrices and related ones

DOI10.1016/0024-3795(93)90289-ZzbMath0774.65013MaRDI QIDQ1801454

Günter Mayer, Andreas Frommer

Publication date: 11 November 1993

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

zbMATH Keywords

interval matrixinterval Gaussian algorithmstrictly diagonally dominantirreducibly diagonally dominant

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

A contribution to the feasibility of the interval Gaussian algorithm

Cites Work

• A necessary and sufficient criterion to guarantee feasibility of the interval Gaussian algorithm for a class of matrices
• Topological proofs for certain theorems on matrices with non-negative elements
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• LU decompositions of generalized diagonally dominant matrices
• Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen
• Verallgemeinerte Diagonaldominanz bei nichtlinearen Funktionen II: Anwendung auf asynchrone Iterationsverfahren und Beispiele
• A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm
• Nonlinear Generalizations of Matrix Diagonal Dominance with Application to Gauss–Seidel Iterations
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