Article ID Journal Published Year Pages File Type
9506434 Applied Mathematics and Computation 2005 16 Pages PDF
Abstract
In this note, we present sharp bounds for the componentwise perturbation of matrix inverse and linear systems, especially for nonsingular M-matrix. We also use matrix derivatives to deduce the matrix componentwise condition number and present some numerical tests to show our results.
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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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A note on the componentwise perturbation bounds of matrix inverse and linear systems
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