(b) A linear system has the form dy dt = Ay, y(0) = (1,0,0) and 23 = -1/2-2i. What is the largest value of h you Suppose the eigenvalues of A are 2₁ = -1,2₂=-1/2+2i could use to stably solve the problem with Forward Euler?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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(b) A linear system has the form
dy
dt
y(0) = (1,0,0)
=
Suppose the eigenvalues of A are 2₁ = -1,2₂ = -1/2+2i and 23
could use to stably solve the problem with Forward Euler?
= Ay,
=
-1/2-2i. What is the largest value of h you
Transcribed Image Text:(b) A linear system has the form dy dt y(0) = (1,0,0) = Suppose the eigenvalues of A are 2₁ = -1,2₂ = -1/2+2i and 23 could use to stably solve the problem with Forward Euler? = Ay, = -1/2-2i. What is the largest value of h you
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