Efficient iterative algorithms for bounding the inverse of a matrix

DOI10.1007/BF02262219zbMath0722.65011OpenAlexW178045559MaRDI QIDQ756361

Jürgen Herzberger, Ljiljana D. Petković

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02262219

zbMATH Keywords

convergencenumerical exampleinterval analysisiterative methodsinterval arithmeticmatrix inversionbounding the inverse of a matrixinterval Schulz's methods

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (5)

An interval-valued inversion of the non-additive interval-valued F-transform: use for upsampling a signal ⋮ Towards interval-based non-additive deconvolution in signal processing ⋮ Efficient algorithms for the inclusion of the inverse matrix using error- bounds for hyperpower methods ⋮ Towards a Robust Imprecise Linear Deconvolution ⋮ On a family of parallel root-finding methods for generalized polynomials

Cites Work

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• Bemerkungen zum Iterationsverfahren von Schulz zur Bestimmung der Inversen einer Matrix
• On a Class of High Order Methods for Inverting Matrices
• Iterationsverfahren höherer Ordnung zur Einschließung der Inversen einer Matrix

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