A new method for computing a \(p\)-solution to parametric interval linear systems with affine-linear and nonlinear dependencies

DOI10.1007/s10543-017-0679-4zbMath1383.65027OpenAlexW2750291125MaRDI QIDQ1689318

Iwona Skalna, Milan Hladík

Publication date: 12 January 2018

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-017-0679-4

zbMATH Keywords

preconditioningnumerical resultparametric solutionparametric linear programmingGauss-Seidel type iterationaffine-interval iterative methodsparametric interval linear systemsrevised affine forms

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50) General methods in interval analysis (65G40) Preconditioners for iterative methods (65F08) Special matrices (15B99)

Related Items (8)

Fast enclosing the solution set of the parametric Sylvester matrix equations ⋮ Unnamed Item ⋮ Proving endpoint dependence in solving interval parametric linear systems ⋮ Computing the spectral decomposition of interval matrices and a study on interval matrix powers ⋮ Linear interval parametric approach to testing pseudoconvexity ⋮ On preconditioning and solving an extended class of interval parametric linear systems ⋮ Unnamed Item ⋮ Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)

Uses Software

• ParLinSys

Cites Work

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