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15-XX
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Linear and multilinear algebra; matrix theory
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15-00
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General reference works (handbooks, dictionaries, bibliographies, etc.)
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15-01
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Instructional exposition (textbooks, tutorial papers, etc.)
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15-02
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Research exposition (monographs, survey articles)
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15-03
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Historical {!must also be assigned at least one classification number from section 01}
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15-04
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Explicit machine computation and programs (not the theory of computation or programming)
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15-06
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Proceedings, conferences, collections, etc.
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15A03
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Vector spaces, linear dependence, rank
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15A04
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Linear transformations, semilinear transformations
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15A06
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Linear equations
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15A09
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Matrix inversion, generalized inverses
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15A12
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Conditioning of matrices
[See also
65F35]
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15A15
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Determinants, permanents, other special matrix functions
[See also
19B10,
19B14]
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15A18
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Eigenvalues, singular values, and eigenvectors
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15A21
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Canonical forms, reductions, classification
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15A22
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Matrix pencils
[See also
47A56]
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15A23
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Factorization of matrices
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15A24
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Matrix equations and identities
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15A27
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Commutativity
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15A29
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Inverse problems
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15A30
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Algebraic systems of matrices
[See also
16S50,
20Gxx,
20Hxx]
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15A33
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Matrices over special rings (quaternions, finite fields, etc.)
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15A36
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Matrices of integers
[See also
11C20]
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15A39
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Linear inequalities
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15A42
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Inequalities involving eigenvalues and eigenvectors
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15A45
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Miscellaneous inequalities involving matrices
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15A48
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Positive matrices and their generalizations; cones of matrices
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15A51
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Stochastic matrices
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15A52
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Random matrices
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15A54
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Matrices over function rings in one or more variables
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15A57
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Other types of matrices (Hermitian, skew-Hermitian, etc.)
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15A60
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Norms of matrices, numerical range, applications of functional analysis to matrix theory
[See also
65F35,
65J05]
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15A63
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Quadratic and bilinear forms, inner products
[See mainly
11Exx]
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15A66
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Clifford algebras, spinors
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15A69
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Multilinear algebra, tensor products
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15A72
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Vector and tensor algebra, theory of invariants
[See also
13A50,
14L25]
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15A75
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Exterior algebra, Grassmann algebras
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15A78
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Other algebras built from modules
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15A90
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Applications of matrix theory to physics
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15A99
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Miscellaneous topics
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