MATH 465 and 565

Fall 2011
Homework

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Chapter 1
1.1

2, 5, 8, 16, 17, 21 25, 34

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Chapter 2
2.1

3a, 10, 14, 21
Computer Problems: 1, 6, 9

2.2

3, 4, 9a-h, 16, 17
Computer Problems: 1, 5

2.3

2, 6, 8, 9
Computer Problems: 2, 3, 4

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Chapter 3
3.1

2, 4, 11, 16
Computer Problems: 1

3.2

2, 5, 10, 15, 16
Computer Problems: 5, 10, 14

3.4

4, 9, 10, 19, 20a, 23

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Chapter 4
4.1

7, 9, 13, 15, 17

4.2

1ab, 5, 7, 13, 26, 27, 28, 31, 38, 55
Computer Problems: 3 (Find and use exisiting Matlab .m files to form the Hilbert matrix and compute the Doolittle, Crout and Cholesky factorizations. You do not need to do any others.)

4.3

1ab, 6, 9, 18, 26, 28, 30, 39, 45
Computer Problem:
Take an existing well written code for Gaussian elimination with partial pivoting and alter it to do complete pivoting. In Matlab, you can download the "GEE! It's Simple" package. Solve problems 4.3.18, 4.3.20-21 and 4.3.25, and compare your answers with partial pivoting and complete pivoting.

4.4

2, 3, 14, 27, 39, 40, 42, 48

4.6

1, 7, 22, 23, 27, 28(only Richardson, Jacobi, GS, SOR), 33
Computer Problems: 1

4.7

1, 3, 6, 12, 13
Computer Problems: 2 you can use existing software for each of the methods.

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Chapter 6

6.1

1, 9, 13, 18, 22, 26, 27, 28

6.3

4, 6

6.4

5, 6, 17, 19, 22, 28, 29
Computer Problems: attached

6.12

1, 5

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Chapter 7

7.1

2, 4b, 6, 15
Computer Problems: attached

7.2

13, 16, 29
Computer Problems: 2

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