| 15-XX |
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Linear and multilinear algebra; matrix theory |
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15-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to linear algebra |
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15-01 |
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra |
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15-02 |
Research exposition (monographs, survey articles) pertaining to linear algebra |
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15-03 |
History of linear algebra [Consider also classification numbers from Section 01-XX] |
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15-04 |
Software, source code, etc. for problems pertaining to linear algebra |
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15-06 |
Proceedings, conferences, collections, etc. pertaining to linear algebra |
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15-11 |
Research data for problems pertaining to linear algebra |
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15A03 |
Vector spaces, linear dependence, rank, lineability |
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15A04 |
Linear transformations, semilinear transformations |
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15A06 |
Linear equations (linear algebraic aspects) |
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15A09 |
Theory of matrix inversion and generalized inverses |
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15A10 |
Applications of generalized inverses |
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15A12 |
Conditioning of matrices [See also 65F35] |
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15A15 |
Determinants, permanents, traces, other special matrix functions [See also 19B10, 19B14] |
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15A16 |
Matrix exponential and similar functions of matrices |
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15A18 |
Eigenvalues, singular values, and eigenvectors |
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15A20 |
Diagonalization, Jordan forms |
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15A21 |
Canonical forms, reductions, classification |
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15A22 |
Matrix pencils [See also 47A56] |
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15A23 |
Factorization of matrices |
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15A24 |
Matrix equations and identities |
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15A27 |
Commutativity of matrices |
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15A29 |
Inverse problems in linear algebra |
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15A30 |
Algebraic systems of matrices [See also 16S50, 20Gxx, 20Hxx] |
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15A39 |
Linear inequalities of matrices |
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15A42 |
Inequalities involving eigenvalues and eigenvectors |
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15A45 |
Miscellaneous inequalities involving matrices |
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15A54 |
Matrices over function rings in one or more variables |
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15A60 |
Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05] |
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15A63 |
Quadratic and bilinear forms, inner products [See mainly 11Exx] |
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15A66 |
Clifford algebras, spinors |
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15A67 |
Applications of Clifford algebras to physics, etc. |
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15A69 |
Multilinear algebra, tensor calculus |
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15A72 |
Vector and tensor algebra, theory of invariants [See also 13A50, 14L24] |
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15A75 |
Exterior algebra, Grassmann algebras |
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15A78 |
Other algebras built from modules |
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15A80 |
Max-plus and related algebras |
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15A83 |
Matrix completion problems |
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15A86 |
Linear preserver problems |
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15A99 |
None of the above, but in this section |
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15B05 |
Toeplitz, Cauchy, and related matrices |
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15B10 |
Orthogonal matrices |
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15B15 |
Fuzzy matrices |
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15B30 |
Matrix Lie algebras |
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15B33 |
Matrices over special rings (quaternions, finite fields, etc.) |
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15B34 |
Boolean and Hadamard matrices |
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15B35 |
Sign pattern matrices |
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15B36 |
Matrices of integers [See also 11C20] |
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15B48 |
Positive matrices and their generalizations; cones of matrices |
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15B51 |
Stochastic matrices |
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15B52 |
Random matrices (algebraic aspects) {For probabilistic aspects, see 60B20} |
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15B57 |
Hermitian, skew-Hermitian, and related matrices |
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15B99 |
None of the above, but in this section |
