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any Hermitian positive definite matria A=M-N, + N is Hermition, and if it is positive

any Hermitian positive definite matria A=M-N, + N is Hermition, and if it is positive

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Proposition 1 Let A be any Hermitian positive definite matriz, written as A=M-N, with M invertible. Then M + N is Hermition, and if it is positive definite, then p(M-¹N) < 1, so that the iterative method converges.
Transcribed Image Text:Proposition 1 Let A be any Hermitian positive definite matriz, written as A=M-N, with M invertible. Then M + N is Hermition, and if it is positive definite, then p(M-¹N) < 1, so that the iterative method converges.
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