Modify the Cholesky Algorithm as suggested in the text so that it can be used to solve

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Modify the Cholesky Algorithm as suggested in the text so that it can be used to solve linear systems, and use the modified algorithm to solve the linear systems in Exercise 7.
In Exercise 7
a. 2x1 − x2 = 3,
−x1 + 2x2 − x3 = −3,
− x2 + 2x3 = 1.
b. 4x1 + x2 + x3 + x4 = 0.65,
x1 + 3x2 − x3 + x4 = 0.05,
x1 − x2 + 2x3 = 0,
x1 + x2 + 2x4 = 0.5.
c. 4x1 + x2 − x3 = 7,
x1 + 3x2 − x3 = 8,
−x1 − x2 + 5x3 + 2x4 = −4,
2x3 + 4x4 = 6.
d. 6x1 + 2x2 + x3 − x4 = 0,
2x1 + 4x2 + x3 = 7,
x1 + x2 + 4x3 − x4 = −1,
−x1 − x3 + 3x4 = −2.
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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