MATLAB Mathematics - SERC - Index of

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vi Contents
1 Matrices and Linear Algebra Function Summary (p. 1-2) Matrices in MATLAB (p. 1-4) Solving Linear Systems of Equations (p. 1-13) Inverses and Determinants (p. 1-22) Cholesky, LU, and QR Factorizations (p. 1-27) Matrix Powers and Exponentials (p. 1-34) Eigenvalues (p. 1-38) Singular Value Decomposition (p. 1-42) Summarizes the MATLAB ® linear algebra functions Explains the use of matrices and basic matrix operations in MATLAB Discusses the solution of simultaneous linear equations in MATLAB, including square systems, overdetermined systems, and underdetermined systems Explains the use in MATLAB of inverses, determinants, and pseudoinverses in the solution of systems of linear equations Discusses the solution in MATLAB of systems of linear equations that involve triangular matrices, using Cholesky factorization, Gaussian elimination, and orthogonalization Explains the use of MATLAB notation to obtain various matrix powers and exponentials Explains eigenvalues and describes eigenvalue decomposition in MATLAB Describes singular value decomposition of a rectangular matrix in MATLAB
Page 1 and 2: MATLAB® The Language of Technical
Page 3: Revision History June 2004 First pr
Page 6 and 7: 2 Polynomials and Interpolation Pol
Page 8 and 9: Introduction to Initial Value ODE P
Page 12 and 13: 1 Matrices and Linear Algebra Funct
Page 14 and 15: 1 Matrices and Linear Algebra Matri
Page 16 and 17: 1 Matrices and Linear Algebra Addin
Page 18 and 19: 1 Matrices and Linear Algebra If x
Page 20 and 21: 1 Matrices and Linear Algebra y = v
Page 22 and 23: 1 Matrices and Linear Algebra Vecto
Page 24 and 25: 1 Matrices and Linear Algebra backs
Page 26 and 27: 1 Matrices and Linear Algebra If A
Page 28 and 29: 1 Matrices and Linear Algebra You c
Page 30 and 31: 1 Matrices and Linear Algebra 0.9 0
Page 32 and 33: 1 Matrices and Linear Algebra Inver
Page 34 and 35: 1 Matrices and Linear Algebra X = p
Page 36 and 37: 1 Matrices and Linear Algebra There
Page 38 and 39: 1 Matrices and Linear Algebra The e
Page 40 and 41: 1 Matrices and Linear Algebra The L
Page 42 and 43: 1 Matrices and Linear Algebra In co
Page 44 and 45: 1 Matrices and Linear Algebra Matri
Page 46 and 47: 1 Matrices and Linear Algebra compu
Page 48 and 49: 1 Matrices and Linear Algebra Eigen
Page 50 and 51: 1 Matrices and Linear Algebra produ
Page 52 and 53: 1 Matrices and Linear Algebra Singu
Page 54 and 55: 1 Matrices and Linear Algebra 1-44
Page 56 and 57: 2 Polynomials and Interpolation Pol
Page 58 and 59: 2 Polynomials and Interpolation pol
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2 Polynomials and Interpolation Cal
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2 Polynomials and Interpolation whe
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2 Polynomials and Interpolation Int
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2 Polynomials and Interpolation int
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2 Polynomials and Interpolation 2 G
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2 Polynomials and Interpolation for
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2 Polynomials and Interpolation Con
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2 Polynomials and Interpolation Lat
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2 Polynomials and Interpolation −
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2 Polynomials and Interpolation −
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2 Polynomials and Interpolation 7 3
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2 Polynomials and Interpolation T =
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2 Polynomials and Interpolation Bec
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2 Polynomials and Interpolation 2-3
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2 Polynomials and Interpolation 2-3
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3 Fast Fourier Transform (FFT) Intr
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3 Fast Fourier Transform (FFT) 200
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3 Fast Fourier Transform (FFT) 2 x
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3 Fast Fourier Transform (FFT) 500
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3 Fast Fourier Transform (FFT) Func
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4 Function Functions Function Summa
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4 Function Functions You can also c
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4 Function Functions 25 20 15 10 5
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4 Function Functions Minimizing Fun
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4 Function Functions To try fminsea
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4 Function Functions Plotting the R
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4 Function Functions The number of
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4 Function Functions and displays t
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4 Function Functions end function s
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4 Function Functions States of the
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4 Function Functions 100 80 60 40 2
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4 Function Functions You can verify
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4 Function Functions Troubleshootin
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4 Function Functions A three-dimens
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4 Function Functions Parameterizing
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4 Function Functions “Anonymous F
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5 Differential Equations Initial Va
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5 Differential Equations odephas3 o
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5 Differential Equations This secti
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5 Differential Equations The basic
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5 Differential Equations 2 Code the
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5 Differential Equations function.
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5 Differential Equations One way to
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5 Differential Equations y0, yp0 Ve
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5 Differential Equations For exampl
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5 Differential Equations 1 0.8 0.6
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5 Differential Equations 2.5 Soluti
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5 Differential Equations To run thi
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5 Differential Equations 2 u′ i =
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5 Differential Equations dydt(i+1,:
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5 Differential Equations refine = 4
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5 Differential Equations Example: A
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5 Differential Equations function [
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5 Differential Equations Note The R
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5 Differential Equations 1 Robertso
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5 Differential Equations The MATLAB
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5 Differential Equations Summary of
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5 Differential Equations Problem Si
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5 Differential Equations Error Tole
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5 Differential Equations Troublesho
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5 Differential Equations Function d
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5 Differential Equations dde23 prod
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5 Differential Equations The exampl
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5 Differential Equations solution y
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5 Differential Equations Example: C
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5 Differential Equations Changing D
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5 Differential Equations BVP Functi
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5 Differential Equations two-point
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5 Differential Equations The input
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5 Differential Equations 2 Pass the
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5 Differential Equations Finding Un
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5 Differential Equations vectorized
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5 Differential Equations There is a
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5 Differential Equations 3 Solve on
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5 Differential Equations hold off T
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5 Differential Equations Note The d
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5 Differential Equations legend('An
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5 Differential Equations Here, v(1-
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5 Differential Equations solution v
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5 Differential Equations Note The D
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5 Differential Equations After disc
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5 Differential Equations The output
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5 Differential Equations Note See t
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5 Differential Equations The exampl
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5 Differential Equations and the ri
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5 Differential Equations u1(x,t) 1
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5 Differential Equations Selected B
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6 Sparse Matrices Function Summary
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6 Sparse Matrices Function Summary
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6 Sparse Matrices This matrix requi
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6 Sparse Matrices S = (3,1) 1 (2,2)
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6 Sparse Matrices Now F = full(S) d
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6 Sparse Matrices Importing Sparse
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6 Sparse Matrices west0479 west0479
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6 Sparse Matrices The find Function
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6 Sparse Matrices of the rows and c
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6 Sparse Matrices The vertices of o
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6 Sparse Matrices 0 10 20 30 40 50
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6 Sparse Matrices 0 500 1000 1500 2
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6 Sparse Matrices simply sparse(m,n
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6 Sparse Matrices Similarly, S(:,p)
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6 Sparse Matrices The following MAT
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6 Sparse Matrices 0 Original 0 Reve
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6 Sparse Matrices QR Factorization
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6 Sparse Matrices shows that A has
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6 Sparse Matrices Functions for Ite
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6 Sparse Matrices set up the five-p
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6 Sparse Matrices Manipulating Spar
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6 Sparse Matrices Selected Bibliogr
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Index comparing sparse and full mat
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Index H hb1dae demo 5-35 hb1ode dem
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Index nonstiff ODE examples rigid b
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Index LU factorization 6-30 minimum
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Index twobvp demo 5-63 two-dimensio
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