√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Seneta E. Ч Non-negative matrices: an introduction to theory and application
Seneta E. Ч Non-negative matrices: an introduction to theory and application

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Non-negative matrices: an introduction to theory and application

јвтор: Seneta E.

јннотаци€:

Since its inception by Perron and Frobenius, the theory of non-negative matrices has developed enormously and is now being used and extended in applied fields of study as diverse as probability theory, numerical analysis, demography, mathematical economics, and dynamic programming, while its development is still proceeding rapidly as a branch of pure mathematics in its own right. While there are books which cover this or that aspect of the theory, it is nevertheless not uncommon for workers in one or other branch of its development to be unaware of what is known in other branches, even though there is often formal overlap. One of the purposes of this book, through its aiming at breadth rather than depth, is to relate various aspects of the theory, insofar as this is possible.


язык: en

–убрика: ћатематика/

—ери€: —делано в холле

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1974

 оличество страниц: 256

ƒобавлена в каталог: 23.05.2011

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
Absorption with probability one      92Ч93
Absorption, mean time to      94Ч95
Absorption, probabilities into essential classes      93
Absorption, Probability      158Ч159
Age structure, evolution of      76
Albert, E.      177
Allen, B.      178
Anderssen, R.S.      178
Backward equations      93
Barriers, absorbing      88 95 158
Barriers, elastic      88
Barriers, reflecting      88 101 179
Bassett, L.      48
Bellman, R.      23
Bernoulli scheme      87
Bernstein, S.N.      99 117 118 119
Birkhoff, G.      25 57
Boolean algebra      50
Boolean algebra, relation matrix      50 107
Borel sets      150Ч152
Boundary theory      147Ч152 178
Branching processes      78
Brauer, A.      23 48 55
Brualdi, R.A.      48 57
Buchanan, M.L.      83
Buharaev, R.G.      57
Burger, E.      33
Cantor diagonal selection principle      132 150
Cauchy sequence      148Ч150
Cherubino, S.      22
Chung, K.L.      23 155
Classes, aperiodic      15 124
Classes, essential      9 91 125
Classes, inessential      9Ч10 91Ч99 125
Classes, lead to      11
Classes, period of      14 124Ч125
Classes, self-communicating      10 124
Classes, subclasses of      16Ч22
Coale Ч Lopez Theorem      77
Coding theory      119
Collatz, L.      24
Combinatorial properties      49Ч55
Contraction properties of P      68 77 104 111
Control theory      66
Control theory, parameter      66
Convergence, geometric in ergodicity of M.C.Тs      91 97
Convergence, geometric in weak ergodicity      72 106
Convergence, norm      162
Convergence, parameter      26 61 161Ч181
Convergence, uniform in strong ergodicity      75
Convergence, uniform in T      78
Convexity in non-negative matrices      82Ч83
Convolution      126
Cycle of indices      9 26 40 48
Daley, D.J.      178
Darroch, J.N.      47
de Oliveira, G.N.      56 57 205
Debreu, G.      22 26 34 35 38n
Decision, linear multistage      66
Decomposition of superregular vector      145
Decomposition, Сlast exitТ      126
Demography      27 67 76Ч77
Derman, C.      154 168n
Determinants, infinite      174Ч181
Dionisio, J.J.      47 54
Divisor, greatest common      15 182Ч185
Djokovic, D.i.      57
Dmitriev, N.A.      56
Doeblin, W.      99 100 100n 118 119
DoeblinТs theory of M.C.Тs      155
Doob, J.L.      156
Dual approach to countable P      140 157
Dulmage, A.L.      54
Dynamic programming      59 66
Dynkin, E.B.      56
Economics, mathematical      30Ч33 40 59 66
Eigenvalues of cyclic matrix      21Ч25
Eigenvalues of Perron matrix      43 47
Eigenvalues, analogue of Perron Ч Frobenius      160
Eigenvalues, bounds for      6 23 28 49 55Ч57
Eigenvalues, generalized problem of      48
Eigenvalues, invariance under rotation      22
Eigenvalues, Perron Ч Frobenius      20; see also "Perron Ч Frobenius"
Erdoes Ч Feller Ч Pollard Theorem      156
Erdoes, P.      156
Ergodic theorems      69 73 91 97 138 156
Ergodicity of primitive M.C.Тs      91
Ergodicity of regular M.C.Тs      97
Ergodicity, characterization of      102
Ergodicity, coefficient of      118
Ergodicity, geometric      170Ч171 178
Ergodicity, pseudo-      98Ч99
Ergodicity, strong      73 104 111Ч121
Ergodicity, uniform weak      108
Ergodicity, weak      69 103Ч121
Fan, K.      23 33 47
Feller, W.      155 156
Fiedler, M.      47
Forward equations      93
Frechet, M.      99
Frobenius, G.      22 25 33 34 55
Functions, convex      194Ч195
Functions, generating      125Ч129 141 162Ч165
Functions, subadditive      184
Functions, superconvex      194Ч195
Functions, supermultiplicative      184
Functions, upper semicontinuous      1 193Ч194
Gale, D.      34
Gantmacher, F.R.      22 33 47 56
Gauss Ч Seidel iteration      36Ч39 102
Gauss Ч Seidel iteration, matrix      36
Generators, extreme      48
Georgescu-Roegen, N.      33
Golub, G.      178
Gordon, P.      23
GreenТs function      143
Hadamard, J.      100
Hajnal, J.      118
Harris Ч Veech condition      156
Harris, T.E.      156
Hawkins Ч Simon condition      32 35
Hawkins, D.      33
Haynsworth, E.V.      56n
Heap, B.R.      54
Heathcote, C.R.      8
Helly selection principle      151Ч152
Helly Ч Bray lemma      152
Herstein, I.N.      22 24 26 34 35 38n
Hille, E.      184n
HoelderТs inequality      83 194Ч195
Holladay, J.C.      54
Holmes, P.T.      156
Homogeneity, asymptotic      111Ч118
Hostinsky, B.      99
Householder, A.S.      23 39
Hypergeometric probabilities      101
Index of primitivity      50Ч52
Index, aperiodic      15 90 130Ч134 141
Index, consequent      10
Index, essential      9 90 102 123 155
Index, inessential      9 90 102 123 155 157
Index, leads to      9
Index, null-recurrent      127
Index, period of      14 90 123 160
Index, periodic      156
Index, positive-recurrent      127 157
Index, R-null      163Ч181
Index, R-positive      163Ч181
Index, R-recurrent      163Ч181
Index, R-transient      163Ч181
Index, recurrent      127 130Ч134 141
Index, transient      127 157Ч159
Indices, chain of      9
Indices, ChungТs exposition on      23
Indices, classification of      9 49 90 124Ч127 161Ч165
Indices, communicating      9 90
Indices, cycle of      9 26 40 48
Indices, KolmogorovТs classification of      23
Indices, relabelling of      12
Indices, residue class of      16Ч22
Indices, simultaneous permutation of      12
Indices, subclass of      16Ч22
Inequality, fundamental for minimal vector      143 147
Information theory      119
Initial probability distribution      86 91 97Ч99
Iterative methods      35Ч39
Jacobi iteration      36Ч39
Jacobi iteration, matrix      36
Joffe, A.      77
Jordan canonical form      38
Karlin, S.      23 34
Karpelivich, F.I.      56
Kaucky, J.      102
Keilson, J.H.      205
Kemeny, J.G.      34 77 97n 99 155 156 180
Kendall, D.G.      156 177 178 179
Kernel      143
Khintchine, A.Y.      184n
Kingman, J.F.C.      83 178 184n 195n
Klimko, L.A.      205
Knapp, A.W.      155 156
Knopp, P.      57
Kolmogorov, A.N.      23 77 100 117 155 156
KolmogorovТs theory of M.C.Тs      155
Konecny, M.      102
Kotelyanskii Ч Gantmacher assertion      33
Kotelyanskii, D.M.      33 35 49
Kozniewska, I.      118
Kuich, W.      178 179 180
Larisse, J.      119
Law of iterated logarithm      119
Ledermann, W.      49 55
Leontief model      30Ч38
Leontief model, dynamic version      32 38
Leontief model, matrix      40
Leontief model, open      30 32 34Ч35
Leontief model, static version      32
Lopez, A.      77
Lynn, M.S.      54
M matrix      47
Malecot, G.      101
Mandl, P.      47 66 67 178
Mangasarian, O.L.      48
Mapping, continuous      44
Mappingб upper semicontinuous      193Ч194
Marcus, M.      55 56 57
Markov chains      23 34Ч35 77 84Ч102 123Ч126 140 147 157
Markov matrices      105 117Ч121 178
Markov processes      36 40 47
Markov property      85
Markov regular chains      97
Markov, A.A.      77 99 117
MarkovТs theorem      117
Martin entrance boundary      158Ч159
Martin exit boundary      140 147Ч150 178
Matrices of Laplace Ч Stieltjes transforms      83
Matrices of moduli      25
Matrices, acyclic (aperiodic)      15
Matrices, arbitrary non-negative      1 25 54 123
Matrices, block sub-      13 21
Matrices, Boolean relation      50 107
Matrices, canonical form      10Ч11 17 27 124
Matrices, characterization of irreducible ML      42
Matrices, column finite      179Ч180
Matrices, combinational properties of      49Ч55
Matrices, convergence radius of irreducible      26
Matrices, cyclic (periodic)      9 15 20Ч25 179 180
Matrices, determinantal and cofactor properties ofinfinite      171Ч181
Matrices, deterministic      52
Matrices, diagonalization of      57Ч58
Matrices, doubly stochastic      56Ч57 101 157
Matrices, essentially positive      40
Matrices, fully indecomposable      57Ч58
Matrices, fundamental for absorbing M.C.      94
Matrices, Gauss Ч Seidel      36
Matrices, graph theory of      23 50 54
Matrices, incidence      1 50 106Ч107 111
Matrices, infinite      23 66 123Ч181
Matrices, inhomogeneous products of      67Ч78
Matrices, irreducible      7 9 15Ч27 43Ч51 90 124 134Ч140
Matrices, irreducible ML      40
Matrices, Jacobi      36
Matrices, Leontief      40
Matrices, M      47
Matrices, Markov      105 108 117Ч121 178
Matrices, Metzler      40
Matrices, Minkowski      40
Matrices, ML      40 48Ч49
Matrices, Morishima      48
Matrices, normed      111 120
Matrices, null-recurrent      135Ч140 156Ч157 170
Matrices, path diagrams of      10 23 124
Matrices, periodic (cyclic)      9 15 20Ч25 179 180
Matrices, permanents of      57
Matrices, permutable structure of      22
Matrices, permutation of      57
Matrices, Perron      43Ч49
Matrices, positive-recurrent      135Ч140 156Ч157
Matrices, power-positive      43Ч48
Matrices, quasi-Markov      121
Matrices, R-null      164Ч181
Matrices, R-positive      164Ч181
Matrices, R-recurrent      164Ч181
Matrices, R-transient      164Ч181
Matrices, recurrent stochastic      135Ч140 156Ч157
Matrices, regular stochastic      97 105Ч108 120
Matrices, representation of cyclic      25
Matrices, row finite      179Ч180
Matrices, scrambling stochastic      108Ч110 118Ч120
Matrices, sets of irreducible      59Ч83
Matrices, sets of positive      67
Matrices, similarity transformation of      12
Matrices, slowly spreading stochastic      180
Matrices, spectral decomposition of      7 42
Matrices, stable stochastic      104
Matrices, stochastic      23 56 68 77 84Ч121 123Ч160 163Ч165 168Ч171 176Ч181
Matrices, sub-stochastic      31 34 98Ч99 142 171
Matrices, Tambs Ч Lyche      40
Matrices, transient stochastic      135Ч140 156Ч157
Matrices, transition      86
Matrices, transition intensity      40 47
Matrices, truncations of infinite      171Ч181
Matrices, unitary      80 190Ч192
Maybee, J.S.      48
McFarland, D.D.      77
Measure, $\beta$-invariant      166Ч168
Measure, $\beta$-subvariant      166Ч168
Measure, bounds for R-invariant      175
Measure, invariant      135Ч140 155Ч156 168 181
Measure, mean recurrence      127
Measure, minimal subinvariant      137
Measure, probability      150Ч152
Measure, R-invariant      163Ч181
Measure, R-subinvariant      163Ч181
Measure, subinvariant      134Ч140 155
Medlin, G.W.      205
Mendelsohn, N.S.      54
Metric d on R      148Ч150
Metric space      148Ч152 155
Metzler matrix      40
1 2
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2017
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте