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< 14-XX | Up | 16-XX >
15-XX Linear and multilinear algebra; matrix theory
15-00   General reference works (handbooks, dictionaries, bibliographies, etc.)
15-01   Instructional exposition (textbooks, tutorial papers, etc.)
15-02   Research exposition (monographs, survey articles)
15-03   Historical (must also be assigned at least one classification number from Section 01)
15-04   Explicit machine computation and programs (not the theory of computation or programming)
15-06   Proceedings, conferences, collections, etc.
15A03   Vector spaces, linear dependence, rank
15A04   Linear transformations, semilinear transformations
15A06   Linear equations
15A09   Matrix inversion, generalized inverses
15A12   Conditioning of matrices [See also 65F35]
15A15   Determinants, permanents, other special matrix functions [See also 19B10, 19B14]
15A16   Matrix exponential and similar functions of matrices
15A18   Eigenvalues, singular values, and eigenvectors
15A21   Canonical forms, reductions, classification
15A22   Matrix pencils [See also 47A56]
15A23   Factorization of matrices
15A24   Matrix equations and identities
15A27   Commutativity
15A29   Inverse problems
15A30   Algebraic systems of matrices [See also 16S50, 20Gxx, 20Hxx]
15A39   Linear inequalities
15A42   Inequalities involving eigenvalues and eigenvectors
15A45   Miscellaneous inequalities involving matrices
15A54   Matrices over function rings in one or more variables
15A60   Norms of matrices, numerical range, applications of functional analysis to matrix theory [See also 65F35, 65J05]
15A63   Quadratic and bilinear forms, inner products [See mainly 11Exx]
15A66   Clifford algebras, spinors
15A69   Multilinear algebra, tensor products
15A72   Vector and tensor algebra, theory of invariants [See also 13A50, 14L24]
15A75   Exterior algebra, Grassmann algebras
15A78   Other algebras built from modules
15A80   Max-plus and related algebras
15A83   Matrix completion problems
15A86   Linear preserver problems
15A99   Miscellaneous topics
15B05   Toeplitz, Cauchy, and related matrices
15B10   Orthogonal matrices
15B15   Fuzzy matrices
15B33   Matrices over special rings (quaternions, finite fields, etc.)
15B34   Boolean and Hadamard matrices
15B35   Sign pattern matrices
15B36   Matrices of integers [See also 11C20]
15B48   Positive matrices and their generalizations; cones of matrices
15B51   Stochastic matrices
15B52   Random matrices
15B57   Hermitian, skew-Hermitian, and related matrices
15B99   None of the above, but in this section
< 14-XX | Up | 16-XX >
American Mathematical Society
American Mathematical Society
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Providence, RI 02904-2294