15-XX
14 | 
Top | 
16 15-XX | 14 | Top | 16 |
| 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] |
| 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, skew-Hermitian, 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 |