Give a direct proof that the finite element matrix (11.171) is positive definite, by either (a) Determining

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Give a direct proof that the finite element matrix (11.171) is positive definite, by either
(a) Determining its L D LT decomposition, or
(b) Finding its eigenvalues, using Exercise 8.2.48.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 18, 2016 09:09 AM

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Give a direct proof that the finite element matrix (11.171) is positive definite, by either (a) Determining

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a since all pivots are positive the matrix is pos...View the full answer

Applied Linear Algebra

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