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Hogben L. — Handbook of Linear Algebra
Hogben L. — Handbook of Linear Algebra



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Íàçâàíèå: Handbook of Linear Algebra

Àâòîð: Hogben L.

Àííîòàöèÿ:

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessible layout of parts, chapters, and sections, with each section containing definition, fact, and example segments. The five main parts of the book encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, applications of linear algebra to various mathematical and nonmathematical disciplines, and software packages for linear algebra computations. Within each section, the facts (or theorems) are presented in a list format and include references for each fact to encourage further reading, while the examples illustrate both the definitions and the facts. Linearization often enables difficult problems to be estimated by more manageable linear ones, making the Handbook of Linear Algebra essential reading for professionals who deal with an assortment of mathematical problems.


ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 2006

Êîëè÷åñòâî ñòðàíèö: 1400

Äîáàâëåíà â êàòàëîã: 30.06.2008

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Mathematica software, vectors      73—3 to 73—5
Mathematical physics, angular momentum      59—9 to 59—10
Mathematical physics, fundamentals      59—1 to 59—2
Mathematical physics, Green’s functions      59—10 to 59—11
Mathematical physics, Lagrangian mechanics      59—5 to 59—6
Mathematical physics, oscillation modes      59—2 to 59—5
Mathematical physics, rotation group, representations      59—9 to 59—10
Mathematical physics, Schrodinger’s equation      59—6 to 59—9
Mathematical programming      50—1
Mathias, Roy      17—1 to 17—15
Mathieu equation      56—14
Matlab software, bucky command, Matlab      71—11
Matlab software, built-in functions      71—4 to 71—5
Matlab software, built-in functions, Matlab software      71—4 to 71—5
Matlab software, cat command, Matlab      71—2
Matlab software, circul function, Matlab      71—6
Matlab software, colormap command, Matlab      71—15
Matlab software, colspace command, Matlab      71—17
Matlab software, contour command, Matlab      71—15
Matlab software, det command, Matlab      71—17
Matlab software, det function, Matlab      71—3
Matlab software, eig command, Matlab      71—9 71—17 71—18
Matlab software, eigenvalues      15—5
Matlab software, eigenvalues and eigenvectors      71—9
Matlab software, eigs function      76—9 to 76—10
Matlab software, eigshow command, Matlab      71—9
Matlab software, eigtool, Matlab      16—12 71—20
Matlab software, ELMAT directory, Matlab      71—5
Matlab software, exp command, Matlab      71—19
Matlab software, expm function, Matlab      11—11
Matlab software, ezcontour command, Matlab      71—15
Matlab software, ezplot command, Matlab      71—14 71—14 71—17
Matlab software, ezsurf command, Matlab      71—17
Matlab software, fname command, Matlab      71—10 71—11
Matlab software, for loops, Matlab      71—11
Matlab software, format short command, Matlab      71—8
Matlab software, functions, Matlab      71—11
Matlab software, fundamentals      71—1
Matlab software, gallery command, Matlab      71—5
Matlab software, givens function, Matlab      42—9
Matlab software, graphical user interfaces      71—19 to 71—22
Matlab software, graphics      71—14 to 71—17
Matlab software, graphics, Matlab software      71—14 to 71—17
Matlab software, hilb command, Matlab      71—18
Matlab software, if statements, Matlab      71—11
Matlab software, implicitly restarted Arnoldi method      44—1
Matlab software, imread command, Matlab      71—15
Matlab software, inline command, Matlab      71—11 to 71—12
Matlab software, inv command, Matlab      71—17
Matlab software, inv function, Matlab      71—3
Matlab software, jordan command, Matlab      71—9
Matlab software, kron function, Matlab      71—4
Matlab software, Lanczos methods      42—21
Matlab software, least squares solutions      71—7 to 71—9
Matlab software, left divide operator, Matlab      71—7
Matlab software, length command, Matlab      71—2 71—9
Matlab software, linear systems      71—7 to 71—9
Matlab software, logical operators, Matlab      71—12
Matlab software, M-files, Matlab      71—11 71—20
Matlab software, matrices      71—1 to 71—3
Matlab software, matrix arithmetic      71—3 to 71—4
Matlab software, max(size) command, Matlab      71—2
Matlab software, mesh command, Matlab      71—15
Matlab software, meshgrid command, Matlab      71—14
Matlab software, multidimensional arrays      71—1 to 71—3
Matlab software, narin command, Matlab      71—12
Matlab software, narout command, Matlab      71—12
Matlab software, norm command, Matlab      71—17
Matlab software, null command, Matlab      71—8 71—17
Matlab software, numnull command, Matlab      71—13
Matlab software, orth command, Matlab      71—17
Matlab software, peaks function, Matlab      71—17
Matlab software, pi function, Matlab      71—4
Matlab software, planerot function, Matlab      42—9
Matlab software, plot command, Matlab      71—14
Matlab software, programming      71—11 to 71—14
Matlab software, rand command, Matlab      71—6
Matlab software, rank command, Matlab      71—17
Matlab software, relational operators, Matlab      71—12
Matlab software, right divide operator, Matlab      71—7
Matlab software, roots function, Matlab      72—16
Matlab software, rref command, Matlab      71—17
Matlab software, size command, Matlab      71—2
Matlab software, spare matrices      71—9 to 71—11
Matlab software, SPARFUN directory, Matlab      71—10
Matlab software, special matrices      71—5 to 71—7
Matlab software, spy command, Matlab      71—10
Matlab software, submatrices      71—1 to 71—3
Matlab software, subs command, Matlab      71—17 71—18
Matlab software, sum command, Matlab      71—17
Matlab software, surfc command, Matlab      71—15
Matlab software, sym command, Matlab      71—17
Matlab software, symbolic mathematics      71—17 to 71—19
Matlab software, syms command, Matlab      71—17
Matlab software, toeplitz function, Matlab      71—6
Matlab software, trace command, Matlab      71—17
Matlab software, vpa command, Matlab      71—17 71—19
Matlab software, while loops, Matlab      71—11
Matlab software’s EIGS subroutine package      76—9 to 76—10
Matrices computations, large-scale, Arnoldi process      49—10 to 49—11
Matrices computations, large-scale, dimension reduction      49—14 to 49—15
Matrices computations, large-scale, eigenvalue computations      49—12
Matrices computations, large-scale, fundamentals      49—1 to 49—2
Matrices computations, large-scale, Krylov subspaces      49—5 to 49—6
Matrices computations, large-scale, linear dynamical systems      49—14 to 49—15
Matrices computations, large-scale, linear systems, equations      49—12 to 49—14
Matrices computations, large-scale, nonsymmetric Lanczos process      49—8 to 49—10
Matrices computations, large-scale, sparse matrix factorizations      49—2 to 49—5
Matrices computations, large-scale, symmetric Lanczos process      49—6 to 49—7
Matrices generation, Maple software      72—4 to 72—5
Matrices over      31—8 to 31—9
Matrices sign function      11—12
Matrices, balanced      32—5 32—12
Matrices, bipartite graphs      30—4 to 30—7
Matrices, classes of (0, 1)-matrices      27—7 to 27—10
Matrices, combinatorial theory, classes of (0, 1)-matrices      27—7 to 27—10
Matrices, combinatorial theory, convex polytopes      27—10 to 27—12
Matrices, combinatorial theory, doubly stochastic matrices      27—10 to 27—12
Matrices, combinatorial theory, monotone class      27—7 to 27—8
Matrices, combinatorial theory, square matrices      27—3 to 27—6
Matrices, combinatorial theory, strong combinatorial invariants      27—3 to 27—5
Matrices, combinatorial theory, structure and invariants      27—1 to 27—3
Matrices, combinatorial theory, tournament matrices      27—8 to 27—10
Matrices, combinatorial theory, weak combinatorial invariants      27—5 to 27—6
Matrices, completion problems, completely positive matrices      35—10 to 35—11
Matrices, completion problems, copositive matrices      35—11 to 35—12
Matrices, completion problems, doubly nonnegative matrices      35—10 to 35—11
Matrices, completion problems, entry sign symmetric P-, $P_{0, 1}-$ and $P_{0}$-matrices      35—19 to 35—20
Matrices, completion problems, entry weakly sign symmetric P-, $P_{0, 1}-$ and $P_{0}$-matrices      35—19 to 35—20
Matrices, completion problems, Euclidean distance matrices      35—9 to 35—10
Matrices, completion problems, fundamentals      35—1 to 35—8
Matrices, completion problems, inverse M-matrices      35—14 to 35—15
Matrices, completion problems, inversions      14—15 to 14—17
Matrices, completion problems, M- and $M_{0}$-matrices      35—12 to 35—13
Matrices, completion problems, nonnegative P-, $P_{0, 1}-$ and $P_{0}$-matrices      35—17 to 35—18
Matrices, completion problems, nullity      14—12 to 14—15
Matrices, completion problems, P-, $P_{0, 1}-$ and $P_{0}$-matrices      35—15 to 35—17
Matrices, completion problems, positive definite matrices      35—8 to 35—9
Matrices, completion problems, positive P-matrices      35—17 to 35—18
Matrices, completion problems, positive semidefinite matrices      35—8 to 35—9
Matrices, completion problems, rank      14—12 to 14—15
Matrices, completion problems, singular values      14—8 to 14—10
Matrices, completion problems, spectrum localization      14—5 to 14—8
Matrices, completion problems, strictly copositive matrices      35—11 to 35—12
Matrices, D-optimal matrices      32—5 to 32—9 32—12
Matrices, defective      4—6
Matrices, derogatory      4—6
Matrices, digraphs      29—3 to 29—4
Matrices, dimension theorem      2—6 to 2—9
Matrices, elementary      1—11 to 1—13
Matrices, empty matrix      68—3
Matrices, equal      1—3
Matrices, equalities and inequalities, determinantal relations      14—10 to 14—12
Matrices, equalities and inequalities, eigenvalues      14—1 to 14—5 14—8
Matrices, factoring      72—9 to 72—11
Matrices, fast multiplication, advanced techniques      47—7 to 47—9
Matrices, fast multiplication, algorithms      47—2 to 47—5
Matrices, fast multiplication, applications      47—9 to 47—10
Matrices, fast multiplication, approximation algorithms      47—6 to 47—7
Matrices, fast multiplication, fundamentals      47—1 to 47—2
Matrices, function behaviors      16—8 to 16—11
Matrices, functions, computational methods      11—9 to 11—12
Matrices, functions, cosine      11—7 to 11—8
Matrices, functions, exponential      11—5 to 11—6
Matrices, functions, fundamentals      11—1
Matrices, functions, logarithm      11—6 to 11—7
Matrices, functions, sign function      11—8
Matrices, functions, sine      11—7 to 11—8
Matrices, functions, square root      11—4 to 11—5
Matrices, functions, theory      11—1 to 11—4
Matrices, fundamentals      1—3 1—3
Matrices, group representations      68—3 to 68—5
Matrices, inverses      1—11 to 1—13
Matrices, inversion      47—9
Matrices, linear transformations      3—3 to 3—4
Matrices, logarithm      11—11
Matrices, Lyapunov diagonal stability      19—9
Matrices, Maple software      72—4 to 72—7 72—16 72—19
Matrices, mappings      18—11
Matrices, Mathematica software      73—5 to 73—9 73—13
Matrices, Matlab software      71—1 to 71—3 71—5
Matrices, max-plus algebra      25—1
Matrices, nonregular      32—7 to 32—9
Matrices, nonsquare case      32—5
Matrices, norms      37—4 to 37—6
Matrices, norms, error analysis      37—4 to 37—6
Matrices, null space      2—6 to 2—9
Matrices, perturbation theory, eigenvalue problems      15—1 to 15—6 15—9 15—13
Matrices, perturbation theory, polar decomposition      15—7 to 15—9
Matrices, perturbation theory, relative distances      15—13 to 15—16
Matrices, perturbation theory, singular value problems      15—6 to 15—7 15—12 15—15
Matrices, rank      2—6 to 2—9
Matrices, representations      28—7 to 28—9
Matrices, sign-pattern, allowing properties      33—9 to 33—11
Matrices, sign-pattern, complex sign patterns      33—14 to 33—15
Matrices, sign-pattern, eigenvalue characterizations      33—9 to 33—11
Matrices, sign-pattern, fundamentals      33—1 to 33—3
Matrices, sign-pattern, inertia, minimum rank      33—11 to 33—12
Matrices, sign-pattern, inverses      33—12 to 33—14
Matrices, sign-pattern, L-matrices      33—5 to 33—7
Matrices, sign-pattern, orthogonality      33—16 to 33—17
Matrices, sign-pattern, powers      33—15 to 33—16
Matrices, sign-pattern, ray patterns      33—14 to 33—16
Matrices, sign-pattern, S-matrices      33—5 to 33—7
Matrices, sign-pattern, sign nonsingularity      33—3 to 33—5
Matrices, sign-pattern, sign solvability      33—5 to 33—7
Matrices, sign-pattern, sign-central patterns      33—17
Matrices, sign-pattern, stability      33—7 to 33—9
Matrices, singular values and singular value inequalities      17—3 to 17—5 17—13
Matrices, sparse, analyzing fill      40—10 to 40—13
Matrices, sparse, effect of reorderings      40—14 to 40—18
Matrices, sparse, factorizations      40—4 to 40—10
Matrices, sparse, fundamentals      40—1 to 40—2
Matrices, sparse, modeling      40—10 to 40—13
Matrices, sparse, reordering effect      40—14 to 40—18
Matrices, sparse, sparse matrices      40—2 to 40—4
Matrices, special properties, canonical forms      6—1 to 6—14
Matrices, special properties, Hermitian      8—1 to 8—5
Matrices, special properties, nonnegative matrices      9—1 to 9—15 9—20
Matrices, special properties, partitioned matrices      10—1 to 10—9
Matrices, special properties, positive definite matrices      8—6 to 8—12
Matrices, special properties, spectral theory      7—5 to 7—9
Matrices, special properties, stochastic matrices      9—15 to 9—17
Matrices, special properties, unitary similarity      7—1 to 7—5
Matrices, spectral theory      7—5 to 7—9
Matrices, stability and inertia, additive D-stability      19—7 to 19—8
Matrices, stability and inertia, fundamentals      19—1 to 19—2
Matrices, stability and inertia, inertia      19—2 to 19—3
Matrices, stability and inertia, Lyapunov diagonal stability      19—9 to 19—10
Matrices, stability and inertia, multiplicative D-stability      19—5 to 19—7
Matrices, stability and inertia, stability      19—3 to 19—5
Matrices, systems oflinear equations      1—9
Matrix algebra      73—9 to 73—12
Matrix approximation      17—12 to 17—13
Matrix arithmetic      71—3 to 71—4
Matrix condition number      38—2
Matrix cosine and sine      11—11
Matrix direct sum      2—7
Matrix equations, control theory      57—10 to 57—11
Matrix equivalence      23—4 to 23—8
Matrix exponential      11—10
Matrix factoring      72—9 to 72—11
Matrix function behaviors      16—8 to 16—11
Matrix games      50—18 to 50—20
Matrix groups, BN structure      67—4 to 67—5
Matrix groups, classical groups      67—5 to 67—7
Matrix groups, fundamentals      67—1 to 67—3
Matrix groups, linear groups      67—3 to 67—5
Matrix in real-Jordan canonical form      6—7
Matrix inversion      47—9
Matrix logarithm      11—11
Matrix mappings      18—11
Matrix multiplication complexity      47—8
Matrix pencils, eigenvalue problems      15—9
Matrix pencils, extensions      16—12
Matrix pencils, generalized eigenvalue problem      43—2
Matrix pencils, linear differential-algebraic equations      55—7
Matrix perturbation theory, eigenvalue problems      15—1 to 15—6 15—9 15—13
Matrix perturbation theory, polar decomposition      15—7 to 15—9
Matrix perturbation theory, relative distances      15—13 to 15—16
Matrix perturbation theory, singular value problems      15—6 to 15—7 15—12 15—15
Matrix polynomial extension      16—13
Matrix polynomial ofdegree      9—8
Matrix power asymptotics      25—8 to 25—9
Matrix products, fundamentals      1—4
Matrix products, Maple software      72—6
Matrix products, numerical range      18—8 to 18—9
Matrix quadratic forms      53—8 to 53—11
Matrix representations      28—7 to 28—9
Matrix sign function      11—12
Matrix square root      11—4 to 11—5 11—11
Matrix stability and inertia, additive D-stability      19—7 to 19—8
Matrix stability and inertia, fundamentals      19—1 to 19—2
Matrix stability and inertia, inertia      19—2 to 19—3
Matrix stability and inertia, Lyapunov diagonal stability      19—9 to 19—10
Matrix stability and inertia, multiplicative D-stability      19—5 to 19—7
Matrix stability and inertia, stability      19—3 to 19—5
Matrix, Maple software      72—1 72—4 72—13 72—15
Matrix-tree theorem      28—8
matrix-vector multiplication      37—8
Matrix-vector product      1—4
Matrix-Vector products, Maple software      72—6 to 72—7
MatrixConditionNumber, Mathematica software, matrix algebra      73—10
MatrixConditionNumber, Mathematica software, singular values      73—18
MatrixExp, Mathematica software      73—9 73—11
MatrixExponential, Maple software      72—19
MatrixForm, Mathematica software, decomposition      73—19
MatrixForm, Mathematica software, matrices      73—6 73—7 73—8
MatrixForm, Mathematica software, matrix algebra      73—10 73—11
MatrixForm, Mathematica software, vectors      73—2 73—4 73—5
MatrixFunction, Maple software      72—19 to 72—20
MatrixInverse, Maple software      72—5
MatrixNorm, Mathematica software      73—27
MatrixPower, Mathematica software, matrices      73—6 73—8
MatrixPower, Mathematica software, matrix algebra      73—9 73—10 73—11 73—12
MatrixQ, Mathematica software      73—6
MatrixRank, Mathematica software, fundamentals      73—27
MatrixRank, Mathematica software, matrix algebra      73—10 73—12
Max algebra      9—23
max(size) command, Matlab software      71—2
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