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roundo¬ unit, 51 asymptotic, 471
rule factors, 42
Cramer™s, 58 Liapunov, 471
Descartes, 262 of interpolation, 332
Laplace, 9 relative, 502
Runge™s counterexample, 331, 344, zero, 477, 495, 502
353 standard deviation, 298
statistic mean value, 407
SAXPY, 77 stencil, 445
saxpy, 77 stopping tests, 171, 269
scalar product, 18 strong formulation, 547
scaling, 110 Sturm sequences, 230
by rows, 110 subspace
Schur generated, 2
complement, 102 invariant, 13
decomposition, 14 vector, 2
semi-discretization, 584, 586 substructures, 100
series Sylvester criterion, 29
Chebyshev, 418 system
Fourier, 416, 582 hyperbolic, 599
Legendre, 419 strictly, 600
set overdetermined, 112
bi-orthogonal, 189 underdetermined, 115
similarity transformation, 14
singular integrals, 398 theorem
singular values, 16 Abel, 262
space Bauer-Fike, 187
normed, 19 Cauchy, 262
phase, 523 Cayley-Hamilton, 13
Sobolev, 543 Courant-Fisher, 146, 233
vector, 1 de la Vall´e-Poussin, 434
e
spectral radius, 13 equioscillation, 433
spectrum of a matrix, 12 Gershgorin, 184
spline Ostrowski, 259
cardinal, 351 polynomial division, 263
interpolatory cubic, 349 Schur, 14
natural, 349 trace of a matrix, 8
not-a-knot, 350 transform
one-dimensional, 348 fast Fourier, 426
parametric, 358 Fourier, 450
periodic, 348 Laplace, 455
splitting, 126 Zeta, 457
stability triangulation, 344, 573
absolute, 479, 480, 499, 502
region of, 480 under¬‚ow, 51
654 Index

upwind ¬nite di¬erence, 565

weak
formulation, 545
solution, 545, 599
wobbling precision, 49

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