On the Symmetric and Unsymmetric Solution Set of Interval Systems

DOI10.1137/S0895479894268075zbMath0834.65012OpenAlexW2097507741MaRDI QIDQ4857581

Günter Mayer, G. E. Alefeld

Publication date: 29 November 1995

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479894268075

zbMATH Keywords

interval matrixsymmetric solutioninterval linear systemsinterval Gaussian eliminationenclosuresCholesky factorization methodCholesky inverseunsymmetric solution

Mathematics Subject Classification ID

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

Related Items (12)

Direct methods for linear systems with inexact input data ⋮ Estimation of algebraic solution by limiting the solution set of an interval linear system ⋮ On regular and singular interval systems ⋮ A multiobjective optimization framework for optimal selection of supplier portfolio ⋮ On the algebraic solution of fuzzy linear systems based on interval theory ⋮ A new approach to obtain algebraic solution of interval linear systems ⋮ Fuzzy mean-variance-skewness portfolio selection models by interval analysis ⋮ Linear interval equations: Computing enclosures with bounded relative or absolute overestimation is NP-hard ⋮ A new idea for exact solving of the complex interval linear systems ⋮ An estimation of algebraic solution for a complex interval linear system ⋮ Interval analysis: Theory and applications ⋮ Three short descriptions of the symmetric and of the skew-symmetric solution set

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