Apply the conjugate gradient method to solve Ax = b = ones(lOO, 1), where A is the -1, 2, -1 second difference matrix A= toeplitz([2 - 1 zeros(l, 98)]). Graph x10 and x20 from CG, along with the exact solution x. (Its 100 components are Xi = (ih -i2h2)/2 with h = 1/101. "plot(i, x(i))" should produce a parabola.)
Apply the conjugate gradient method to solve Ax = b = ones(lOO, 1), where A is the -1, 2, -1 second difference matrix A= toeplitz([2 - 1 zeros(l, 98)]). Graph x10 and x20 from CG, along with the exact solution x. (Its 100 components are Xi = (ih -i2h2)/2 with h = 1/101. "plot(i, x(i))" should produce a parabola.)
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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Apply the conjugate gradient method to solve Ax = b = ones(lOO, 1), where A is the -1, 2, -1 second difference matrix A= toeplitz([2 - 1 zeros(l, 98)]). Graph x10 and x20 from CG, along with the exact solution x. (Its 100 components are Xi = (ih -i2h2)/2 with h = 1/101. "plot(i, x(i))" should produce a parabola.)
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