Interval Gaussian Elimination with Pivot Tightening

DOI10.1137/080729621zbMath1181.65047OpenAlexW1989755553MaRDI QIDQ3642857

Jürgen Garloff

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1137/080729621

zbMATH Keywords

inverse \(M\)-matrixtotally nonnegative matrixinterval Gaussian eliminationinverse nonnegative matrixsymmetric solution setpivot tigtheningToeplitz solution set

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Positive matrices and their generalizations; cones of matrices (15B48) Direct numerical methods for linear systems and matrix inversion (65F05) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (8)

Estimation of algebraic solution by limiting the solution set of an interval linear system ⋮ Finding an inner estimation of the solution set of a fuzzy linear system ⋮ On the algebraic solution of fuzzy linear systems based on interval theory ⋮ A new approach to obtain algebraic solution of interval linear systems ⋮ Pivot tightening for direct methods for solving symmetric positive definite systems of linear interval equations ⋮ High precision interval analysis of the frequency response of structural-acoustic systems with uncertain-but-bounded parameters ⋮ First order rejection tests for multiple-objective optimization ⋮ An estimation of algebraic solution for a complex interval linear system

This page was built for publication: Interval Gaussian Elimination with Pivot Tightening