Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Nashed M.Z. — Generalized inverses and applications
Nashed M.Z. — Generalized inverses and applications

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Generalized inverses and applications

Автор: Nashed M.Z.

Язык: en

Рубрика: Математика/Алгебра/Линейная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1976

Количество страниц: 1054

Добавлена в каталог: 21.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$(I-\lambda K)^{\dag}$      201
$(I-\lambda K)^{\dag}$ in the spaces $\mathfrak L_2[0, 1]$ and C[0, 1]      204
$a_g$      10
$L^#_{m, g}$
$L^#_{P, Q}$      16
$\mathfrak L (x, y)$      24
$\wp_g$      10
(Frobenius) characteristic root      748
(RKHS)      230
*-reciprocal      176
1-inverse      8
Adjoint      176
Affine      641
Affine approximation      641
Affine transformations      697
Aggregate consumption function      632
Aggregation approximate      6I9
Aggregation bias      557 640 666 668 735
Aggregation coefficient      678 707
Aggregation forecast      7 32
Aggregation operator      707
Aggregation perfect      555 619 651 719 745
Aggregation problem      555 618 665 713
algebraic      4
Algebraic, direct sum      4
Algebraic, for nonlinear mappings      91
Algebraic, generalized inverses      14
Algebraic, identities for euclidean norm      120
Algebraic, projector      4
Algebraic, sum of two subspaces      4
Algebraic, theory generalized inverses      3
Almost sure linear restriction      700
Anderson      143
Approximations      456 466
Approximations to the PI      457 460
Autocovariance structure      7 31
Auxiliary regression      718
Axiom of Choice      622
B. L. U. E.      526
Banach lemma      256 333
BAS      404 436 457 471
Bayes risk      616
Bayesian estimation      603
Best approximate aggregation      555 556 603 639 665 727 751
Best approximate and disaggregation      553 556
Best approximate simplification      707
Best approximate solution      40 404
Best bilinear unbiased estimator      725
Best homogeneous linear predictor      607 688 691 692
Best linear (affine) predictor      604
Best linear conditional unbiasedness      593
Best linear conditionally unbiased estimator      721 722 726
Best linear conditionally unbiased estmator      554 592 601 602
Best linear minimum bias estimation      617
Best linear minimum bias estimator      555 597 602
Best linear unbiased estimates      529
Best linear unbiased estimator      554 563 564 715
Bi-affine function      717 722 729
Bilinear function      713
Bilinear restrictions      652 716 717
Bill of goods      7 38
Bimatrix games      496 512
Blow up      7 32
Blowing-up formula      557 755
Blowing-up problem      644
Blowing-up transformation      665
Borel measurable functions      612 640 649
Bose      128
Bott      134
Bott — Duffin inverse      495 497
Boullion      132
Calkin algebra      213
Canonical representation of $\lambda I-K$      77
Carrier      30
Case when $B^{\phi} = B^{\dag}$      358
Category with concrete factorization      86
Category with factorization      84
Cauchy’s functional equation      625
Chance constrained programming      496
Characterization of set of all least squares solutions      331
Cline      138
Closed extension      474
Closed graph theorem      462
Closed range      467
Collectively compact pointwise convergent approximations      352
Collectively compact pointwise convergent approximations to $(I-K)^{\dag}$      361
Commutative      189
Commutativity of the trace operation      709 710
Complementary linear restrictions      586 588 593 601
Complementary matrix      554 588
Complete orthogonal decomposition      306
Complete trace      162
Composition of two functions      620
Computable approximation to $B^{\phi}$      361
Computation of generalized inverses      245—301
Computer subroutines      284 29’
Condition number      279 335
Conditional distribution      603
Conditional expectation      640 526
Conditional forecast      556 666
Conditionally unbiased      592
Conjugate transpose      153
Consistent equation      151
Consistent estimator      730
Consolidated aggregative model      618
Consolidated multivariate multiple regression model      712
Constrained least squares      525
Constrained nonlinear optimization problems      223
Constrained quadratic minimization problems      233
Constraints      448
Consumption function      626
Contemporaneous covariance matrix      712
Continuity of generalized inverse      251
Continuity of the map $A\to A^{\dag}$      335
Continuous extension      630
Continuous generalized inverse      622
Continuous left inverse      635
Contrasts between first and second kind equations      204
Controllable      447
Coordinate-free approach      632
Coretraction      84
Costs of computation      557
Covariance operator      418 421 485 486 487
Criterion for minimization of aggregation and disaggregation bias      557 696 706 710
DDC      403 47 3
DDC operators      413
Decomposition of matrices      250 264 281
Decomposition singular value      254 273 290 293
Decompositions for $B_{P’,Q’}^{\dag}-A_{P,Q}^{\dag}$      344
Degrouping function      644
Degrouping transformation      679
Densely defined closed (DDC) operators      47 3
Dependent variable      558 584
Dependent variable (endogenous)      7 34
Derivative of the pseudoinverse      310
Detailed forecast      7 32
Detailed model      618
Determinant      159
Diagram computes      619
Differentiation of projectors      310
Diophantine linear equations      496
Disaggregation, absolute bias      649 690 692 697
Disaggregation, almost perfect relative      687 706
Disaggregation, best approximate      556 648 690 692 734 755
Disaggregation, best approximate absolute      691
Disaggregation, best approximate relative      691
Disaggregation, operator      557 707
Disaggregation, perfect      644 678 732 753
Disaggregation, perfect absolute      680
Disaggregation, perfect relative      644 679 733
Disaggregation, perfect relative rank condition for      682
Disaggregation, problem      642 644 665
Disaggregation, rank condition      136
Disaggregation, rank condition almost      688
Disaggregation, rank condition for perfect relative      684 753
Disaggregation, relative bias      649 690 693 697
Disaggregation, relative is almost perfect      694
Distance between the two functions      639
Distribution normal      674
Domain decomposable with respect to the projector      30
Domain decomposiability      30
Doubly stochastic      580
Drazin inverse in a semigroup and in $\mathfrak L(X)$      99
Drazin pseudoinverse      126 137 153
Duality      503
Duff in      134 143
Durbin — Watson test      574
Eckart      139
Efficient      724
Efficient characterization      128
Efficient estimation of certain bilinear functions      717
Eigenvalues      150
Electrical duality      500
Electrical network      503
Electrical network analysis      497
Endogenous variables      584 618 711
Epimorphism      83
Equilibrium points      496 512
Erdelsky      133
Error bounds associated      344
Error bounds for generalized inverses      340
Error bounds for generalized inverses under change of projectors      348
Essentially strictly convex norm      132
Estimable      551 557 717 7 32
Estimable function      554
Estimate      418
Estimate of the model      557
Estimating the models      550
Estimation problem      558 713
Estimator      716
Estimator (2.3.18) is Gauss-Markoff      718
Estimator direct least squares      586
Estimator maximum likelihood      730
Expectation operator      558
Expected loss      707
Explanatory exogenous variables      618
Explicit solutions      503 504
Extremal solution      40
Factor-output coefficient      7 37
Factorization      250; see “Decomposition”
Filter factor      233
Filtering      2 32
Finite rank      159
Fixed endpoint QRP      446
Fixed variates      711
Forecasting      7 32
Fredholm operator      210
Fredholm pseudoinverse      159
Fredholm resolvent      154
Free endpoint QRP      452
Full-rank factorization      134
Functional equation      624
Gap between subspaces      348
Gauss elimination      262 293
Gauss — Markoff      716 7 35
Gauss — Markoff estimation      617 715
Gauss — Markoff estimator      563 564 717 720 736 730 735
Gauss — Markoff theorem      57 3 426 526
Gauss — Newton method      222
Generalized eigenfunctions      171
Generalized inverse      112 125 304 551 650
Generalized inverse approximations and perturbation bounds for      352
Generalized inverse computation of      245—301
Generalized inverse extremal and prominimal properties, left-orthogonal metric, orthogonal right-orthogonal      37
Generalized inverse in *-regular rings      93
Generalized inverse in Banach and Hilbert spaces      52
Generalized inverse in Banach spaces      59 329
Generalized inverse in Hilbert spaces      61
Generalized inverse in linear analysis      193—214
Generalized inverse in regularization      225
Generalized inverse in topological vector spaces      22 33
Generalized inverse of $\lambda I-K$      78
Generalized inverse of a bounded linear operator with closed range      63
Generalized inverse of a compact operator      193
Generalized inverse of a continuous linear functional      73
Generalized inverse of a projector      73
Generalized inverse of adjoints      69
Generalized inverse of arbitrary linear operators in Hilbert spaces      64
Generalized inverse of closed linear operator      62
Generalized inverse of Fredholm operators      210
Generalized inverse of matrices over arbitrary field      101
Generalized inverse of modified matrices      351
Generalized inverse of morphisms      83
Generalized inverse of normal operators of finite descent      76
Generalized inverse of the differentiation operator for distributions      75
Generalized inverse of the mapping      622
Generalized inverse of topological homomorphisms      52
Generalized inverse over an arbitrary field      116
Generalized inverse under change of projectors      19
Generalized inverse with respect to P, Q      17
Generalized normal equation      571 717 719
Generalized quasi-inverse      553 556 557
Generalized schwarz inequality      562 695
Gradient projection method      496
Gram — Schmidt orthogonalization -      274 282 285
Gramian      447
Graph      437
Gross output      7 36 755
Group inverse      126 137
Grouped observations      579
Grouping function      621
Grouping mapping      621
Grouping matrix      579 650 712 580
H-valued random variable      487
Hatanaka condition      745
Hilbert function space      453
Hilbert space pseudoinverse      402
Hilbert space-valued random variables      417
Hilbert — Schmidt      435
Homogeneity of degrouping functions      699
Householder transformations      268 282 285 304
Hurwitz pseudoresolvent      165 201
Idempotent      4 6 723
Identifiable      551
Identification      430 432 439
Ill - conditioning      245 279 289
Ill - posed linear operator equations      225
Ill - posed problems      228
Inclusion mapping      627
Inconsistent equation      151
Indecomposable      737 748 750 751
Independent (explanatory) variables      558
Independent or exogenous variables      711
Independent variables      734
Input-output      738
Input-output coefficient      736 739
Input-output matrix      737
Input-output models      701 736
Input-output system      430
INTEGER      509
Integer programming      678
Integral equation      150
Intersection of subspaces      143
Interval linear program      503
Inverse      476 151
Inverse inner      5
Inverse left      718
Inverse linear inner      8
Inverse mapping theorem      219
Inverse operator approximations      333
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте