Guaranteed Inclusions for the Inverse Matrix via Error-Bounds for the Neumann Series

DOI10.1002/zamm.19920720312zbMath0767.65009OpenAlexW2164157045MaRDI QIDQ4033987

Jürgen Herzberger

Publication date: 16 May 1993

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19920720312

zbMATH Keywords

error boundinterval arithmeticinverse matrixNeumann seriesiterative numerical methodguaranteed inclusions

Mathematics Subject Classification ID

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

Cites Work

• An optimum cubically convergent iterative method of inverting a linear bounded operator in Hilbert space
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