Page 12 - Numerical Analysis Using MATLAB and Excel

15 Bessel, Legendre, and Chebyshev Functions 15−1
15.1 The Bessel Function ............................................................................................15−1
15.2 Legendre Functions ...........................................................................................15−10
15.3 Laguerre Polynomials .........................................................................................15−21
15.4 Chebyshev Polynomials .....................................................................................15−22
15.5 Summary ............................................................................................................15−27
15.6 Exercises .............................................................................................................15−32
15.7 Solutions to End−of−Chapter Exercises ............................................................15−33

MATLAB Computations: Pages 15−3 through 15−4, 15−6, 15−9,
14−19 through 15−22, 15−25, 15−33, 15−35 through 15−37
Excel Computations: Pages 15−5, 15−9

16 Optimization Methods 16−1

16.1 Linear Programming ........................................................................................... 16−1
16.2 Dynamic Programming ........................................................................................16−4
16.3 Network Analysis ...............................................................................................16−14
16.4 Summary ............................................................................................................16−19
16.5 Exercises .............................................................................................................15−20
16.6 Solutions to End−of−Chapter Exercises ............................................................15−22
MATLAB Computations: Pages 16−3
Excel Computations: Pages 16−4, 16−23, 16−25 through 16−27

A Difference Equations in Discrete−Time Systems A−1
A.1 Recursive Method for Solving Difference Equations........................................... A−1
A.2 Method of Undetermined Coefficients ................................................................A−1

MATLAB Computations: Pages A−4, A−7, A−9

B Introduction to Simulink® B−1

B.1 Simulink and its Relation to MATLAB ...............................................................B−1
B.2 Simulink Demos ..................................................................................................B−20
MATLAB Computations and Simulink Modeling: Entire Appendix B

C Ill-Conditioned Matrices C−1

C.1 The Norm of a Matrix ...........................................................................................C−1
C.2 Condition Number of a Matrix .............................................................................C−2
C.3 Hilbert Matrices ....................................................................................................C−3

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