1500  General reference works (handbooks, dictionaries, bibliographies, etc.)


1501  Instructional exposition (textbooks, tutorial papers, etc.)


1502  Research exposition (monographs, survey articles)


1503  Historical (must also be assigned at least one classification number from Section 01)


1504  Explicit machine computation and programs (not the theory of computation or programming)


1506  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]


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]


15A33  Matrices over special rings (quaternions, finite fields, etc.)


15A36  Matrices of integers [See also 11C20]


15A39  Linear inequalities


15A42  Inequalities involving eigenvalues and eigenvectors


15A45  Miscellaneous inequalities involving matrices


15A48  Positive matrices and their generalizations; cones of matrices


15A51  Stochastic matrices


15A52  Random matrices


15A54  Matrices over function rings in one or more variables


15A57  Other types of matrices (Hermitian, skewHermitian, etc.)


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


15A90  Applications of matrix theory to physics


15A99  Miscellaneous topics

