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
Campbell S.L., Meyer C.D. — Generalized Inverses of Linear Transformations (Classics in Applied Mathematics)
Campbell S.L., Meyer C.D. — Generalized Inverses of Linear Transformations (Classics in Applied Mathematics)

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 of Linear Transformations (Classics in Applied Mathematics)

Авторы: Campbell S.L., Meyer C.D.

Аннотация:

Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. This book is an excellent reference for researchers and students who need or want more than just the most basic elements. First published in 1979, the book remains up-to-date and readable; it includes chapters on Markov Chains and the Drazin inverse methods that have become significant to many problems in applied mathematics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2008

Количество страниц: 294

Добавлена в каталог: 16.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$B_{y}$ matrices      109 118
Absorbing, chain      152 165 169
Absorbing, state      152
Absorbtion probability      166
Adjoining a row and/or a column      54
Algorithms      260
Analytic matrix valued function      227
Backward population projection      184
Best linear unbiased estimate      109
Block, form      3
Block, triangular matrix      61
blue      109 112 113 114
Bott — Duffin inverse      117
Calculation of the Moore — Penrose inverse      247
Canonical form for the Drazin inverse      122
Cauchy's inequality      234
Characteristic polynomial      132 207
Closest vector      29
Coefficient of determination      35
Common solution      98
Commutator-[X, Y]      23
Commuting weak Drazin inverse      203
Complementary subspace      3
Component matrices      201
Computation of the Drazin inverse      255
Computational concerns      246
Condition number      224 247
Conformable      53
Conjugate transpose      2
Consistent, initial vector      172 182
Consistent, model      106
Consistent, norms      212
Consistent, systems      93
Constrained, generalized inverse      68
Constrained, least squares solutions      65
Constrained, minimization      63
Continuity of generalized inverses      210
Continuity of the Drazin inverse      232
Continuity of the index      233
Continuity of the Moore — Penrose inverse      216
Core of a matrix      127
Core-nilpotent decomposition      128
Curve fitting      39
Cyclic chain      152
Deflation      258
Derivative of matrix valued function      226
Derivative of Moore — Penrose inverse      227
Design matrix      32
Difference equations-systems      181
Differential equations-systems      171
Direct sum      3
Directed graph      117
Discrete control problem      197
Distinguished columns      15
Doubly stochastic matrix      163
Drazin inverse as a limit      136
Drazin inverse of a partitioned matrix      139
Drazin inverse, a polynomial      130
Drazin inverse, algebraic definition      122
Drazin inverse, functional definition      122
Dual      238
Electrical engineering      77
EP, matrices      208
EP, matrix      74 129
Equation solving inverses      93
Equivalent norms      212
Ergodic, chain      152 158
Ergodic, set      151 166
Ergodic, state      151 165
Estimable      106
Estimating equation      34
Euclidean norm      28
Expected, absorption times      169
Expected, number of times in a state      158
Farkas Theorem      239
Feasible solution      238
Final space      72
Finite Markov chain      151
Fitting a linear combination of functions      43
Fixed probability vector      156 160 162 208
Flat      31
Full rank factorization      14 15 16 148 149 249
Functional, error      30
Functional, relationship      30
Functions of a matrix      200
Fundamental matrix of constrained minimization      63
Gauss — Markov theorem      105
Gaussian elimination      246 250
General solution of AXB = C      97
Generalized, eigenvector of grade P      129
Generalized, inverse of a sum      46
Generalized, inverse, functional definition      8
Generalized, inverse, Moore definition      9
Generalized, inverse, Newton method      118
Generalized, inverse, Penrose definition      9
Givens rotation      249 252
Goodness of fit      34 38 39
Group inverse      124
Group inverse of a block triangular matrix      143
Hermite, echelon form      15
Hermite, form      115 117
Hermitian      2
Homogeneous, Markov chain      151
Homogeneous, systems-differential equations      175
Householder transformation      249 251
Idempotent matrices      201
Impedance      78
Impedance, matrix      80
Inconsistent systems      94
Index of a block triangular matrix      142
Index of a matrix      121 138
Index of a product      150
Index of zero eigenvalue      132
Initial, space      72
Initial, value problem      172
Inputs      78
Integer solution      116
Integration of exponential      176
Intercept hypothesis      32
Invariant subspace      4 7
Inverse function      8
Inverse-(1)      96
Inverse-(1, 2)      96
Inverse-(1, 2, 3, 4)      96
Inverse-(1, 3)      96
Inverse-(1, 3, 4)      25
Inverse-(1, 4)      96
Inverse-(i, j, k)      91 95
Isometry      71
Iterative methods      250 261 262
Kirchhoff law      78
Kronecker product      115
Least, squares generalized inverse      95
Least, squares solution      28
Leslie, matrix      185
Leslie, population model      184
Limited probability      168
Limits for transition matrices      155
Linear, estimation      104
Linear, functional relationship      30
Linear, hypothesis      30
Linear, model      105
Linear, programming      237
Linear, unbiased estimates      107
Linearly unbiased estimate      106
Markov process      151
Matrix, norm      211
Matrix, valued functions      224
Maximal element      127
Mean first passage matrix      159
Measurable matrix valued functions      235
Measurement errors      30
Meromorphic matrix valued function      228
Minimal, least squares solution      28
Minimal, norm constrained least squares solutions      67
Minimal, polynomial      132 207
Minimal, rank weak Drazin inverse      203
Minimal, V-norm solution      117
Minimal, V-seminorm W-least squares solution      118
Minimum, norm generalized inverse      94
Minimum, variance linear unbiased estimate      107
Modified matrices      51
Moore — Penrose inverse      10 92
Moore — Penrose inverse as an integral      26
Moore — Penrose inverse of block triangular matrix      62
Moore — Penrose inverse of partitioned matrix      54 55 58
Moore — Penrose inverse of rank 1 matrix      25
n-port network      78
Nilpotent part of a matrix      128
No intercept hypothesis      32
Nonlinear least squares      229
Norm, matrix      211
Norm, operator      211
Norm, vector      210
normal      5
Normal, equations      29
NR-Generalized inverse      92
Null space      2
Oblique projector      92
Operation      52
Operator norm      211
Optimal, control      187 189
Optimal, value      239
Optimal, vector      238
Orthogonal projector      2 3 29 92 218
Outputs      78
p-Norm      211
Parallel sum      82 84
Partial isometry      72
Partitioned, matrices      116
Partitioned, matrices, (1)-inverse      98
Partitioned, matrices, (1, 2)-inverse      100
Partitioned, matrix      53
Perturbation of the Moore — Penrose inverse      224
Polar form      5 73
Polyhedral cone      244
Port      78
Positive semi-definite      102
Prescribed range null space inverse      92 93
Product moment correlation      35
Projective weak Drazin inverse      203
Projector      2
Proper splitting      262
Properly partitioned block triangular matrix      61
Property of homogeneity      78
Property of superposition      78
Pyle's formulation      241
Qudratic cost functional      188
RANGE      2
Rank 1 modification      47 116
Rank of block triangular matrix      104
Rank of partitioned matrix      102
Rank, function      225
Reciprocal network      81
Rectangular systems of differential eq      178
Reducing subspace      4 7
Regular chain      152 157
Relative error      34
Resistive network      82
Restricted, linear model      115
Restricted, linear transformation      9 91 121
Restricted, model      106
Reverse order law      19 26 95 115 149
Row, echelon form      14
Row, space      101
Shorted, matrices      86
Shorted, matrix      87
Singular value      6 214
Singular value, decomposition      6 247 251
Slack variables      237
Special, mapping property      75 205
Special, properties of the Drazin inverse      129
Standard basis      47
Star cancellation law      3
Stochastic matrix      152
Sup norm      211
Terminals      77
Tractable      172 182
Transient set      151 165 168
Transition matrix      151
Unitary matrices      12 72
Variance of first passage time      160
Weak Drazin inverses      202 203
Weighted, generalized inverse      117
Weighted, least squares solution      117
Weighted, Moore — Penrose inverse      118
Weighted, normal equations      115
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2018
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте