Àâòîðèçàöèÿ
Ïîèñê ïî óêàçàòåëÿì
Hogben L. — Handbook of Linear Algebra
Îáñóäèòå êíèãó íà íàó÷íîì ôîðóìå Íàøëè îïå÷àòêó?
Íàçâàíèå: Handbook of Linear AlgebraÀâòîð: 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: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2006Êîëè÷åñòâî ñòðàíèö: 1400Äîáàâëåíà â êàòàëîã: 30.06.2008Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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-, 35—19 to 35—20 Matrices, completion problems, entry weakly sign symmetric P-, 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 35—12 to 35—13 Matrices, completion problems, nonnegative P-, 35—17 to 35—18 Matrices, completion problems, nullity 14—12 to 14—15 Matrices, completion problems, P-, 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
Ðåêëàìà
and 
-matrices 
-matrices
|
|
Î ïðîåêòå