| 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 |
| 15A15 |
- |
Determinants, permanents, other special matrix functions |
| 15A18 |
- |
Eigenvalues, singular values, and eigenvectors |
| 15A21 |
- |
Canonical forms, reductions, classification |
| 15A22 |
- |
Matrix pencils |
| 15A23 |
- |
Factorization of matrices |
| 15A24 |
- |
Matrix equations and identities |
| 15A27 |
- |
Commutativity |
| 15A29 |
- |
Inverse problems |
| 15A30 |
- |
Algebraic systems of matrices |
| 15A33 |
- |
Matrices over special rings (quaternions, finite fields, etc.) |
| 15A36 |
- |
Matrices of integers |
| 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 |
| 15A63 |
- |
Quadratic and bilinear forms, inner products |
| 15A66 |
- |
Clifford algebras, spinors |
| 15A69 |
- |
Multilinear algebra, tensor products |
| 15A72 |
- |
Vector and tensor algebra, theory of invariants |
| 15A75 |
- |
Exterior algebra, Grassmann algebras |
| 15A78 |
- |
Other algebras built from modules |
| 15A90 |
- |
Applications of matrix theory to physics |
| 15A99 |
- |
Miscellaneous topics |
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