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| Авторизация |
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| Поиск по указателям |
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| Horn R.A. — Matrix Analysis |
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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,  norm 265
Vector norm,  norm 264
Vector norm,  norm 265
Vector norm,  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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