MATH 465/565
Fall 2008
Homework
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 6
Chapter 8
Chapter 9
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1.2
465: 1dg, 2c, 10, 15a
565: add 17, 19a
1.3
465: 2a, 3a, 6, 11
565: add 11, 15
1.4
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2.1
465: 1, 8, 10, 19
565: add 18
2.3
465: 2, 6abc, 16, 17c, 27
565: add 31
2.4
465: 8, 11 and #1 on supplement
565: add 10 and #2 on supplement
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3.1
465: 1bd, 3bd, 10bd, 14, 28
565: add 31
3.3
465: 2b, 4b, 6a, 10
565: add 11a
3.4
465: 1, 2, 4ac, 6ac, 8ac, 20, 28
565: add 26
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4.1
465: 20, 25
565 add: 28
4.2
465: 1c, 7 Explain this result, e.g. how well do you expect (4.6) to approximate f'(2)? Is this result expected? What does it imply?
565 add: 8
4.4
465: 4ad, 20, 22
565 add: 26a
4.7
465: 1ce, 4ce
565 add: 5
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6.1
465: 1, 6cd, 19
565 add: 10
6.2
465 and 565: (These all refer to problem 10, but do not do with three digit chopping) 14, 18, 22 (Do not do in Maple with DIGITS:=10)
6.5
465: 6 In addition, obtain factorizations of the form PA=LU
565 add: 11
6.6
465: 2, 4 (use Matlab function ldlt), 6
(use Matlab function chol), 10
(use factorization from 6 with backward and forward subsitution), 20, 22
565 add: 24, 32
6.7
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8.1
465 and 565: 6, 8
8.2
465 and 565: 2, 11, 12
8.3
465 and 565: supplement
8.5
465 and 565: 3, 9, 10
8.6 --------------------------------------------------- 9.3 9.4
465 and 565: 2a., 4
465 and 565: 2bc work them out by hand and check your answer with h_trid.m
465 and 565: 4bc use "qr" in matlab (or other software) for the QR decomposition, but do not use software for finding eigenvalues with the QR method.