Page 516 - Applied Numerical Methods Using MATLAB

INDEX FOR MATLAB ROUTINES 505
eye() S1.1-7 identity matrix (having 1/0 on/off its diagonal)
ezplot() S1.3-6 easy plot
falsp() S4.3 false position method to solve a nonlinear equation
fem basis ftn() S9.4 coefficients of each basis function for subregions
− −
fem coef() S9.4 coefficients for subregions
−
feval(): S1.1-6 evaluation of a function defined by inline() or in an
M-file
find() P1.10 find indices of nonzero (true) elements
findsym() S4.7 find the symbolic variables in a symbolic expression
fix() S1.1-5 (T1.3) round towards zero
fixpt() S4.1 fixed-point iteration to solve a nonlinear equation
fliplr() S1.1-7 flip the elements of a matrix left-right
flipud() S1.1-7 flip the elements of a matrix up-down
floor() S1.1-5 (T1.3) round to—infinity
fminbnd() S7.1-2 unconstrained minimization of one-variable function
fmincon() S7.3-2 constrained minimization
fminimax() S7.3-2 minimize the maximum of vector/matrix-valued function
fminsearch() S7.2-2, 7.3-1 unconstrained nonlinear minimization (Nelder-Mead)
fminunc() S7.2-2, 7.3-1 unconstrained nonlinear minimization (gradient-based)
for S1.1-9 repeat statements a specific number of times
format S1.1-3 control display format for numbers
forsubst() S2.4-1 forward substitution for lower-triangular matrix equation
fprintf() S1.1-3, P1.2 write formatted data to screen or file
fsolve() S4.6,4.7,E4.3 solve nonlinear equations by a least squares method
gauseid() S2.5-2 Gauss-Seidel method to solve a system of linear
equations
gauss() S2.2-2 Gauss elimination to solve a system of linear equations
gauss legendre() S5.9-1 Gauss-Legendre integration
−
gausslp() S5.9-1 grid points of Gauss-Legendre integration formula
gausshp() S5.9-2 grid points of Gauss-Hermite integration formula
genetic() S7.1-8 optimization by the genetic algorithm (GA)
ginput() S1.1-4 input the x-& y-coordinates of point(s) clicked by
mouse
global S1.3-5 declare global variables
gradient() P6.0 numerical gradient
grid on/off S1.1-4 grid lines for 2-D or 3-D graphs
gtext() S1.1-4 mouse placement of text in a 2-D graph
heat exp() S9.2-1 explicit forward Euler method for parabolic PDE (heat
−
eq)
heat imp() S9.2-2 implicit backward Euler method for parabolic PDE (heat
−
eq)
heat CN() S9.2-3 Crank-Nicholson method for parabolic PDE (heat eq)
−
heat2 ADI() S9.2-4 ADI method for parabolic PDE (2-D heat equation)
−
help S1.1-1 display help comments for MATLAB routines
hermit() S3.6 Hermite polynomial interpolation
hermitp() S5.9-2 Hermite polynomial
hermits() S3.6 multiple Hermite polynomial interpolations
hessenberg() P8.5 transform a matrix into almost upper-triangular one
hist() S1.1-4, 1.1-8 plot a histogram
hold on/off S1.1-4 hold on/off current graph in the figure
housholder() P8.4 Householder matrix to zero-out the tail part of a vector
ICtFT1() P1.26 Inverse Continuous-time Fourier Transform
if S1.1-9 for conditional execution of statements