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Collatz L. — Functional analysis and numerical mathematics
Collatz L. — Functional analysis and numerical mathematics

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Название: Functional analysis and numerical mathematics

Автор: Collatz L.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1966

Количество страниц: 491

Добавлена в каталог: 24.11.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\epsilon$ net      81
Abelian group      27
Absolute error      100
Accumulation point      19
Achieser, N.I.      72 76 414 456 464
Adjoint operator      109
Agmon, S.      456
Aitken, A.C.      368 457
Akilow, G.R.      459 464
Albrecht, J.      228 244 248 363 367 368 379 457
Alternating behavior      354
Alternating direction      248
Alternative theorem      91
Antitone      350
Antosiewicz, H.A.      206 457
Approximation      12 44 410ff
Approximation, linear      413
Approximation, rational      415
Approximation, theorem of Weierstrass      72
Associative law      27
Assortment problem      9
Asymptotic behavior      7
Attractive fixed-point      201 345
Aumann, G.      457
Averaging operator      114 195
Banach algebra      32
Banach space      56 58
Banach, St.      457
Basis      66
Bauer, F.L.      164 457
Beckert, H.      361 457
Behnke, H.      25 79 457
Berg, L.      457
Bergman, St.      75 457
Bessel’s equation      67
Bessel’s inequality      44
Bifurcation of tubes      6
Birkhoff, G.      51 228 248 457
Bittner, L.      457
Bohl, E.      371 374 375 457
Boundary condition      6
Boundary condition, homogeneous      6 123
Boundary point      235
Boundary value problem, linear      6
Boundary value problem, nonlinear      6 251 288 340 404
Boundary value problem, semihomogeneous      251
Bounded operator      87
Bounded variation      60
Bram, J.      454 464
Brouwer, L.E.J.      357 457
Brouwer’s fixed-point theorem      357 454
Bukovics, E.      457
Capacity      8
Cartwright, M.L.      457
Cauchy convergent      54
Cauchy formula      130
Cauchy problem      261
Cauchy sequence      54
Center      438
Central difference operator      115
Chain rule      271
Characteristic equation      139 171
Characteristic initial value problem      262
Characteristic number      171
Chebyshev approximation      14 410 433 442 444
Chebyshev approximation, rational      416
Chebyshev polynomial      418
Chebyshev quadrature formula      109
Chordal distance      25 79
Closed hull      18
Closed operator      110
Closed set      18
Coddington, E.A.      118 457
Coefficients, determination of      11
Collatz, L.      5 136 139 143 157 164 183 206 234 240 257 317 336 344 444 458
Column-sum criterion      230
Combinatorics      10
Commutation relation      97
Commutator      186
Commuting operators      89
Compact      76 450
Compact, relatively      76
Complete (orthonormal system)      65
Complete (set)      55
Complete ordering      45
Completely continuous integral operator      127
Completely continuous operator      124 371
Completeness relation      67
Concave (function)      50
Concave (operator)      335
Condition number      100 185
Conformal mapping      12
Connected grid region      235
Conormal      122
Consistent matrix norm      169
Continuity of a functional      77
Continuity of an operator      87
Continuity of distance      61
Contraction      213
Convergence      52
Convergence in a pseudometric space      53
Convergence, strong      76
Convergence, uniform      55
Convergence, weak      75
Convex body      165
Convex hull      452
Convex operator      335
Convex set      28
Cooke, R.G.      97 241 458
Couple (force)      29
Coupling mechanism      11
Courant, R.      129 159 458
Courant’s maximum-minimum principle      154
Cyclically ending iteration      221
Darboux’s differential equation      196
Davis, Ph.      109 129 131 458
Day, M.M.      199 358 458
De La Vallee Poussin      463
Decomposable matrix      229 376
Defect      12 225 334
Definiteness of eigenvalue problems      159
Definiteness of norms      30
Dense      19
Derivative, Frechet      268
Derwidue, L.      361 458
Deviation from normality      185
Dieudonne, J.      176 269 464
Difference method      233
Difference operator      114
Difference operator, central      115
Differential equation      5
Differential equation, elliptic      57 233 383
Differential equation, hyperbolic      260 398
Differential equation, parabolic      393
Differential operator      117
Dijkstra, E.W.      10 458
DIMENSION      28
Dirichlet principle      136
Discrete points      307
Discrete T-approximation      433 442
Displacement operator      114
Distance, (continuity of)      61
Distance, chordal      25
Distance, Distance, from a set      63
Distance, Euclidean      32
Distributive law      27
Divergence      120
Divergence theorem (Gauss)      122
Divided differences (operator)      207 307
Divisor      47 50
Domain of attraction      201 284
Domain of definition      86
Double pyramid      430
Dual vector norm      179
Dueck, W.      102 458
Dunford, N.      452 458
Ehrmann, H.      100 297 298 458
Eigen element (vector)      91 142
Eigenvalue problem      7 137 273 325
Eigenvalue problem and rational T approximation      431
Eigenvalue problem, definite      159
Eigenvalue problem, general      137
Eigenvalue problem, selfadjoint      139
Eigenvalue problem, special      139 140
Elliptic differential equation      57
Elliptic differential equation, nonlinear      383
Elliptic geometry      60
Equations      2
Equations with denumerably many unknowns      5 241
Equations, nonlinear      224
Equicontinuity      80
Euclidean distance      32
Euclidean vector norm      167
Euler’s expression      277
Evaluation of expressions      14
Exchange method      439
Expansion by least squares      71
Expansion by least squares, in terms of an orthonormal system      66ff
Expansions      11
Extended Bessel equation      68
Extrapolation      363
Extremum problems      8 134
Extremum property of eigenvalues      150
Fichera, G.      458
Fixed point theorem      200
Fixed point theorem, Brouwer      361 454
Fixed point theorem, Schauder      357 454
Fixed point, attractive      201
Fixed point, repulsive      201
Fomin, S.V.      196 460
Force couple      29
Forces in a plane      28
Forsythe, G.E.      234 246 458
Fourier analysis      11
Fourier coefficients      69
Frank, P.      12 458
Frechet derivative      267
Frobenius, G.      458
Function, admissible      157
Function, almost periodic      75
Functional      77
Functional determinant      275
Galerkin’s equations      161
Gauss — Seidel iteration      225
Gauss’ formulas      109
General eigenvalue problem      137
Generalized orthogonality      138
Geometry, elliptic      60
Geometry, hyperbolic      27
Gericke, H.      51 458
Gerisch, W.      196 459
Glasmann, I.M.      76 456
Gloistehn, H.      459
Golomb, M.      459
Golub, G.H.      248 459
Gradient      275
Graph      10
Green’s formula      122
Green’s function      6 95 129 351 404
grid      234
Group iteration      239
Guderley, K.G.      7 459
Haar’s function system      73
Haemmerlin, G.      131 133 459
Hahn — Banach theorem      277
Hale, I.K.      459
Halmos, P.R.      464
Hamiltonian      96
Hamming, R.W.      413 459
Hankel transform      117
Haussdorff space      20
Heat equation      397
Heinrich, H.      459
Hellwig, G.      459
Henrici, P.      459
Hermitean      171
Hermitean method      344 368 379 444
Hidden periods      13
Higher derivatives      269
Hilbert space      56ff
Hilbert, D.      129 159 458
Hille, E.      459
Hoelder inequality      16 17 181
Holomorphic function      57 129 292
Homogeneity      30
Homogeneity of a boundary condition      123
Homogeneity of an operator      86
Householder, A.S.      164 457 459
Huaux, A.      361 459
Hull, closed      18 452
Hull, convex      452
Hyperbolic differential equation      260 398
Hyperbolic geometry      61
Hyperbolic metric      27
Identity operator      3
Improved difference method      368
Inclusion for the minimum deviation      418
Inclusion theorem for eigenvalues      143
Inclusion theorem for Newton’s method      338
Inequalities, systems of      420
Inequality, Bessel      44
Inequality, Hoelder      16
Inequality, Minkowski      16 32
Inequality, Schwarz      34
Infimum      46
Infinite linear systems of equations      5 241
Initial value-boundary value problems      263
Integrable function      40
Integral equation      5 258
Integral equation, nonlinear      259 373
Integral operator      94
Integral operator, completely continuous      127
Integral transform      275
Integrodifferential equation      6
Integrodifferential operator      95
Interior normal      6
Interior point      19
Interpolation      12 129
Interpolation, polynomial      12 306
interval      46
Inverse element      27
Inverse operator      91
Inverse transformation      91
Isometry      112
Isotone      350
Iterated vector      182
Iteration, simple      224
Iteration, single-step cyclic      224
Iterative methods      101 200ff
Iterative methods, order of      290
Jackson, D.      45 71 459
Jacobi iteration      225
Jacobian      275
Kaczmarz, St.      459
Kalaba, R.      334 459
Kantorovitch, L.W.      242 317 459 460 464
Kincaid, W.M.      306 460
Kirchberger, P.      416 425 460
Knobloch, H.W.      460
Knoedel, W.      9 460
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