Page 11 - Numerical Analysis Using MATLAB and Excel

11.4 Summary .............................................................................................................11−11
11.5 Exercises............................................................................................................. 11−13
11.6 Solutions to End−of−Chapter Exercises .............................................................11−14

12 Partial Fraction Expansion 12−1

12.1 Partial Fraction Expansion ..................................................................................12−1
12.2 Alternate Method of Partial Fraction Expansion ..............................................12−13
12.3 Summary ............................................................................................................12−19
12.4 Exercises ............................................................................................................12−22
12.5 Solutions to End−of−Chapter Exercises ............................................................12−23

MATLAB Computations: Pages 12−3 through 12−5, 12−9 through 12−12,
12−16 through 12-18, 12−23 through 12−28

13 The Gamma and Beta Functions and Distributions 13−1
13.1 The Gamma Function .........................................................................................13−1
13.2 The Gamma Distribution ..................................................................................13−16
13.3 The Beta Function .............................................................................................13−17
13.4 The Beta Distribution ........................................................................................13−20
13.5 Summary ............................................................................................................13−22
13.6 Exercises ............................................................................................................13−24
13.7 Solutions to End−of−Chapter Exercises ............................................................13−25

MATLAB Computations: Pages 13−3, 13−5, 13−10, 13−19, 13−25
Excel Computations: Pages 13−5, 13−10, 13−16 through 13−17, 13−19, 13−21

14 Orthogonal Functions and Matrix Factorizations 14−1

14.1 Orthogonal Functions ......................................................................................14−1
14.2 Orthogonal Trajectories ...................................................................................14−2
14.3 Orthogonal Vectors ..........................................................................................14−4
14.4 The Gram−Schmidt Orthogonalization Procedure ..........................................14−7
14.5 The LU Factorization .......................................................................................14−9
14.6 The Cholesky Factorization ............................................................................14−23
14.7 The QR Factorization .....................................................................................14−25
14.8 Singular Value Decomposition .......................................................................14−28
14.9 Summary .........................................................................................................14−30
14.10 Exercises .........................................................................................................14−32
14.11 Solutions to End−of−Chapter Exercises .........................................................14−34

MATLAB Computations: Pages 14−8 through 14−9, 14−11 through 14−29,
14−36, 14−38 through 14−39

Numerical Analysis Using MATLAB® and Excel®, Third Edition v
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