Page 513 - Applied Numerical Methods Using MATLAB

502 SUBJECT INDEX
robot path planning, 164 stiff, 284–286, 298–299, 386
Romberg integration, 228–230 Sturm-Liouville (BVP) equation, 319
rotation matrix, 382, 384 surface area of revolutionary object, 258
round-off error, 31, 35, 212, 213 SVD (singular value decomposition), 98, 112
row echelon form, 467 symbolic, 193, 233, 280, 481
row space, 467 symbolic variable, 194, 481
row switching, 91, 105 symmetric matrix, 381–382, 466
Runge Phenomenon, 124 Symmetric Diagonalization Theorem, 382
Runge-Kutta (RK4), 267
runtime error, 40 T
Taylor series theorem, 462, 485
S temperature, 404, 406, 412, 435, 438
term-wise operation, 15, 52
saddle point, 358
Toeplitz matrix, 390
sampling period, 151, 153, 172
trapezoidal rule, 222, 225, 226
scalar product, 469
tri-diagonal, 107, 108
scaled partial pivoting, 85, 105
truncation error, 31, 212, 213
scaled power method, 378–379
two-dimensional interpolation, 141, 168
Schroder method, 202
secant method, 189, 201 U
self-calling, 201
unconstrained optimization, 321, 350
shifted inverse power method, 380
unconstrained least squares, 355
shooting method, 287, 305, 309, 312
underdetermined, 72
shooting position, 288, 307
underflow, 34, 64
similarity transformation, 373
uniform probabilistic distribution, 22
Simpson’s rule, 222, 226
unitary, 466
simulated annealing, 334, 336
un-normalized range, 29
sinc function, 41, 51
single step, 494 V
smallest positive number in MATLAB, Van der Pol equation, 285, 296
27 vector, 15, 469
Solve mode, 434 vector differential equation, 277, 284
SOR (successive over-relaxation), 104 vector operation, 39
sparse, 489 vector product, 469
stability, 378, 386, 406–410, 415–416, 418, vibration, 416, 418, 440
450 volume, 243, 258
state equation, 277, 281, 283, 295, 299
steepest descent, 328, 330 W
Steffensen method, 201 wave equation, 414, 416–418, 453
step-size, 212–215, 264–265, 269, 286, 328, weight least-squares (WLS), 145, 147, 171
332
step-size dilemma, 213 X
step in, 494 zero-padding, 151