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| Авторизация |
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| Collatz L. — Functional analysis and numerical mathematics |
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| Предметный указатель |
Koethe, G. 196 460
Kolberg, F. 8 460
Kolmogorov, A.N. 196 419 460
Kowalewski, G. 132 460
Krelle, W. 460
Krylov, V.I. 60 109 242 460 464
Kuenzi, H.P. 460
Kurepa, G. 51 460
L supermetric space 277
Lagrange’s identity 118
Langer, R.E. 460
Laplacian 123 136
Lattice 48
Least squares 13
Lebesgue integral 40
Leray, J. 460
Levinson, N. 118 457
Lichnerowicz, A. 460
Liebmann, H. 235 460
Limit element 52
Limit element of a sequence 19
Limit element, point 19
Linear approximation 413
Linear boundary value problem 5
Linear dependence 28
Linear manifold 27
Linear operator 2
Linear optimization 9
Linear space 27
Linear system of equations 361 367
Lions, J.L. 460
Lipschitz constant 87
Ljusternik, L.A. 60 80 104 460 464
Lower bound 46
Maack, W. 15 460
Magnus, W. 45 117 460
Majorization (Green’s function) 404
Mapping 2 see
Mapping, conformal 12
Matrix 94
Matrix norm 169
Matrix of montone kind 376
Maximum principle 383
Mazur, S. 452 460
Mean value theorem (Taylor) 280
Mechanics 139
Mehrstellenverfahren 344 379 444
Meinardus, G. 416 418 460
Membrane 159
Meschkowski, H. 57 58 75 461
Metric space 22
Meyer, A.G. 461
Michlin, S.G. 461
midpoint 28
Minimal solution 410
Minimum distance 418
Minkowski inequality 16 32
Mirsky, L. 461
Mixed initial value problem 262
Momentum 97
Monotone behavior 354
Monotone kind, matrix 376
Monotone kind, operator 350
Monotonically decomposable 352
Monotonicity theorems 393
Multiple zeros 292ff
Naas, J. 117 461
Nagy, B.Sz. 150 277 461 464
Natanson, I.P. 56 57 60 83 241 461 464
Neighborhood 18
Neighboring operator 98
Neuber, H. 6 461
Neumark, M.A. 119 120 128 461
Newton — Cotes formulas 108
Newton’s interpolation polynomial 306
Newton’s method, simplified 282 407
Newton’s method, standard 282 315 336 345 412
Newton’s—3/8 rule 133
Nickel, K. 394 461
Nierenberg, L. 456
Noerlund, N.E. 308 312 461
Non separable 75
Nonlinear boundary value problem 6 251 288 340 404
Nonlinear elliptic differential equation 383
Nonlinear hyperbolic differential equation 398
Nonlinear integral equation 259 373
Nonlinear optimization 9
Nonlinear oscillations 361
Nonlinear systems of equations 224
Norm 30 34
Normal family 79
Normal space 20
Normal transformation 112
Normality, deviation from 185
Normalization condition 3
Null element 1 27
Null sequence 59
Null solution 91
Oberhettinger, F. 45 117 460
One-step cyclic process 224
open 18
Operator 21 86ff
Operator, adjoint 110
Operator, antitone 350
Operator, closed 110
Operator, completely continuous 124 371
Operator, concave 335
Operator, convex 335
Operator, inverse 91
Operator, isotone 350
Operator, linear 2
Operator, monotone 350
Operator, monotonically decomposable 352
Operator, normal 112
Operator, selfadjoint 110
Operator, unitary 112
Optimization 9
Order of iteration methods 290
Ordering 45
Orthogonality 41
Orthogonality, generalized 138
Orthonormal system 41 65
Orthonormalization 42
Oscillations nonlinear 361
Osgood condition 383
Ostrowski, A. 461
Overrelaxation 242
Overrelaxation factor 246
Parabolic equation 393
Parallelogram equation 35
Parseval’s equation 67
Partial ordering 45
Partially ordered Banach space 61 371
Paszkowski, S. 461
Period analysis 13
Perturbed operator 221
Petryshyn, W.V. 202 461
Plate problem 5
Plateau’s problem 443
Plumb line 63
Point 18
Polynomial approximation 423
Polynomials, Chebyshev 45
Polynomials, Hermite 45
Polynomials, Laguerre 45
Polynomials, Legendre 45
Positive definite 172
Positive definite, operator 87
Positive definite, semigroup 48
Principal ideal 47
| Product of operators 89
Projection 63 147
Projective plane 60
Projective transformation 426
Protter, M.H. 456
Pseudometric space 51
Ptolemy’s inequality 195
Quadrature formulas 107 131 132
quantum mechanics 96
Quasi distance 21
Quasimetric space 21
Raleigh principle 158
Raleigh quotient 158
Raleigh — Ritz method 136 160
RANGE 86
Rational approximation 13 415
Rational approximation, T approximation 416 431
Redheffer, R.M. 383 389 394 395 461
Reference 435
Reference, deviation 437
Reference, point 436
Regula Falsi 300
Regula falsi, primitive form 301
Regular space 20
Regular system of equations 241
Relative error 100
Relatively compact 76
Relaxation 226 228
Relaxation factor 226
Remainder term 107
Remainder term, estimate for 129
Remes, E. 331 412 461
Repulsive fixed point 201 345
Residual 225
Resolvent 142
Rheinboldt, W.C. 206 457
Rice, J.R. 461
Riesz, F. 150 277 461 464
Ritz method 136 160
Row-sum criterion 229
Saaty, T.L. 454 464
Sassenfeld, H. 461
Scalar product 33
Schaefer, H. 375 462
Schauder, J. 357 456 460 462
Schauder’s fixed point theorem 357 450
Schlicht function 79
Schmeidler, W. 462
Schmid, H.L. 461
Schmidt, J.W. 100 117 462
Schroeder, J. 51 206 253 317 358 362 372 462
Schulz, G. 323 462
Schwartz, J.T. 452 458
Schwarz constant 141
Schwarz inequality 34
Schwarz quotients 141
Selfadjointness 110
Selfadjointness of eigenvalue problems 139
Semicontinuous functional 77
Semigroup 48
Semihomogeneous boundary value problem 251
Separable 66
Separation axioms 20
Sequence of operators 104
Set of units 304
Sheldon, J.W. 243 462
Sierpinski, W. 462
Simple iteration 224
Simple Newton method 282
Simplex method 412
Simplified Newton method 282 407
Simpson’s rule 133
Single-step cyclic iteration 224
Singular values 142
Skew-hermitean 228
Sliding vector 28
Sobolew, S.L. 462
Sobolew, W.I. 16 60 80 104 460 464
Sommer, F. 25 79 457 464
Space 1 18
Space, Banach 55 58
Space, Haussdorff 20
Space, Hilbert 55 56
Space, L supermetric 277
Space, linear 27
Space, metric 21
Space, normal 20
Space, pseudometric 51
Space, quasimetric 21
Space, regular 20
Space, supermetric 29
Space, topological 18
Space, unitary 33
Special eigenvalue problem 139
Spectral norm 173
Spectral radius 172
Spectral representation 150
Spectral variation 189
Spectrum 142
Sphere 23 31
Square mesh 115
Stability criterion 7
Star (stencil) 115 116 240 344 444
Steinhaus, H. 459
Stiefel, E. 435 462 464
Stieltjes integral 150
Stone, M.H. 150 462
Straight line 28 49
Strictly monotone kind 350 394
Strong convergence 76
subspace 62
Subtabulation 12
Summation method 14
Supermetric space 29 267
Support (hyperplane) 180
Supremum 46
Symmetry line 194
System of inequalities 420
Szabo, I. 164 462
Szarsky, J. 394 462
T approximation see "Chebyshev"
Taussky, O. 199 463
Taylor, A.E. 104 463
Taylor’s Theorem 281
Telegrapher’s equation 402
Temple, G. 143 463
Temple’s quotient 145
Temple’s theorem 145
tetrahedron 430
Theorem of choice 102
Todd, J. 72 463
Topological space 18
topology 18
Torsion 7 238 344 391 443
Transcendental equation 287
Transformation 2 see
Transformed vector norm 170
Transportation problem 9
Trapezoidal rule 131
TREE 10
Triangle inequality 21 30 35
Triangular matrix 172 225
Tricomi, F.G. 65 463
Trigonometric functions 70
Unger, H. 325 463
Uniform continuity 80
Uniform convergence 56
Uniqueness theorem 211
Unitary operator 112
Unitary space 33
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