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Horn R.A. — Matrix Analysis
Horn R.A. — Matrix Analysis



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Название: Matrix Analysis

Автор: Horn R.A.

Аннотация:

Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 529

Добавлена в каталог: 16.10.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
TRANSPOSE      6
Transposition      25
Triangle inequality      259 290
Triangular factorization      157
Triangular matrices      24
Triangularization by consimilarity      244 245
Triangularization by unitary congruence      203
Triangularization by unitary consimilarity      244 245
Triangularization by unitary similarity      79
Triangularization, orthogonal      84
Triangularization, simultaneous      81 84 94
Tridiagonal matrix      28 174 395 409 506
Tripotent      148
Trivial cycle      358
Truncation errors      335
Unit ball      273 281
Unit ball, compact      283 284
Unit ball, convex      284
Unit ball, equilibrated      284
Unit ball, properties of      283
Unit disc      532
Unit sphere      273
Unit vector      15
Unitarily diagonalizable      101
Unitarily equivalent, definition      72
Unitarily equivalent, equal diagonal entries      77
Unitarily equivalent, Specht's theorem      76
Unitarily equivalent, to upper triangular matrix      79
Unitarily invariant matrix norms      296 308
Unitarily invariant matrix norms, set is convex      450
Unitarily invariant norm      292 296 437
Unitarily invariant vector norm      265 267
Unitarily invariant vector norm, on matrices      437 441 445
Unitarily invariant vector norm, on matrices, Von Neumann’s characterization      438
Unitarily invariant vector norm, on matrices, when a matrix norm      450
Unitary group      69
Unitary matrices, selection principle      117
Unitary matrix      66—72 157
Unitary matrix, characterizations      67
Unitary matrix, definition      66
Unitary matrix, selection principle      69
Upper half-plane      532
Vandermonde matrix      29
Variational characterization, of eigenvalues      176
Vector norm, $l_{1}$ norm      265
Vector norm, $l_{2}$ norm      264
Vector norm, $l_{p}$ norm      265
Vector norm, $l_{\infty}$ norm      265 322
Vector norm, absolute      285 310 365 438
Vector norm, algebraic properties      268
Vector norm, analytic properties      269
Vector norm, Cauchy sequence with respect to a      274
Vector norm, characterization via unit ball      284
Vector norm, compatible      324 327
Vector norm, consistent      324
Vector norm, convergence with respect to a      269
Vector norm, definition      259
Vector norm, derived from inner product      262
Vector norm, dual      275
Vector norm, duality theorem      287
Vector norm, equivalent      273 279
Vector norm, Euclidean      264
Vector norm, generalized matrix norm      290
Vector norm, geometric properties      281
Vector norm, inequalities between      279
Vector norm, isometry      266
Vector norm, Manhattan norm      265
Vector norm, max norm      265
Vector norm, monotone      285 310 365 449
Vector norm, on matrices      320—342
Vector norm, polyhedral      282
Vector norm, pre-norm      272 322
Vector norm, spectrally dominant      329
Vector norm, subordinate      324
Vector norm, sum norm      265
Vector norm, uniformly continuous      271
Vector norm, unit ball      273 281
Vector norm, unit sphere      273
Vector norm, unitarily invariant      265 267
Vector norm, unitarily invariant on matrices      437
Vector norm, weakly monotone      285
Vector seminorm      259
Vector space      2
Vector space, complete      274
Vector, normalized      15
Vector, unit      15
Von Neumann inner product theorem      263
Von Neumann unitarily invariant norm theorem      438
Weak minimum principle      460
Weakly connected directed graph      383
Weakly irreducible matrix      383
Weakly monotone norm      285
Weierstrass’s Theorem      541
Weighted arithmetic-geometric mean inequality      535
Well conditioned      336
Weyl's theorem      181 184 367 419 423
Wielandt example      522
Wielandt inequality      442 443
Wielandt theorem      520
Wielandt — Hoffman theorem      368 419
Witt Cancellation Theorem      78 141
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