Page 481 - Numerical Methods for Chemical Engineering

470 Index

MATLAB commands (cont.) quadl 166
condest 113 rand 168, 327
cputime 60 randn 334
dblquad 167 refinemesh 303
delaunay 303 regress 400
delaunayn 303 roots 148
det 57 schur 119
diag 290 spalloc 52, 56
eig 123, 149 sparfun 57
eigs 124, 149 spdiags 53
fft 445–446 spy 53
fft2 451–452 std 364
fftn 451–452 svd 146, 149
fmincon 242–243 tinv 397
fminsearch 213 trapz 140, 163
fminunc 228–230 tril 285
fsolve 83, 98 triplequad 167
fzero 70, 99 triplot 303
gmres 287 triu 285
ifft 445–446 var 364
ifft2 451–452 voronoi 303
ifftn 451–452 voronoin 303
initmesh 302 Matrix
interp1 100, 161 addition 8
jigglemesh 303 banded 51
lu 57 Cholesky factorization (see also Cholesky
luinc 291 factorization)42
matfun 57 complex 10
mean 364 condition number (see also Condition number) 113
mldivide ‘/’ 53, 56 covariance matrix 337
nlinfit 400 determinant (see also Determinant)32
nlparci 401 diagonal dominance 115
nlpredci 401 diagonalizable matrix 118
norm 113 dimension 8
normest 113 eigenvalue (see also Eigenvalue analysis) 104
norminv 397 exponential function 169
normrnd 334 Hermitian conjugate 119
ode15i 208 Hermitian matrix 119
ode15s 182, 198, 208, 282 Hessenberg matrix 132
ode23s 208, 282 Hessian (see also Hessian matrix) 134, 212, 223
ode23tb 208 inverse (see also Matrix inverse)36
ode45 182, 206 irreducible matrix 116
odephas2 208 Jacobian (see also Jacobian matrix) 73, 172
odephas3 208 Jordan form 118
odeplot 208 Jordan normal form 121
odeprint 208 kernel (null space) 29, 144
odeset 208 list of available functions with MATLAB matfun
optimset 84, 98, 228 57
pcg 223, 285 LU factorization (see also LU factorization) 38, 57
pdegplot 302 multiplication 26
pdemesh 302 multiplication by scalar 8
pdenonlin 310 multiplication by vector 8, 9
pdepe 294 norm (see also Norm) 44, 113
pdeplot 303 normal matrix (see also Normal matrix) 119
pdetool 301–303, 309–311 null space (kernel) 29, 141
poisscdf 335 orthogonal 105, 119
poissfit 335 partitioned matrix 45
poissinv 335 positive-definite 42, 122
poisspdf 335 preconditioner (see also Preconditioner matrix)
poissrnd 335 288–291
poissstat 335 principal diagonal 10
qr 131 QR factorization (see also QR factorization) 130
quad 163 range 30, 144