Prove that if || || is a vector norm on Rn, then ||A|| = max||x||=1 ||Ax||

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Prove that if || · || is a vector norm on Rn, then ||A|| = max||x||=1 ||Ax|| is a matrix norm.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:56 AM

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Prove that if || || is a vector norm on Rn, then ||A|| = max||x||=1 ||Ax||

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It is not difficult to show that i hold If A 0 then Ax 0 ...View the full answer

Numerical Analysis

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