15 Linear and multilinear algebra; matrix theory
| Section | P | S | ||
|---|---|---|---|---|
| 15A03 | Vector spaces, linear dependence, rank | 16 | 1 | |
| 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 | |||
| WebForm | |
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| TopicClassification | MathSC2000 |
| ProjectGroup? | |
| ImplementationDate? | N/A |
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Topic revision: r2 - 2006-11-17 - 10:57:07 - MarcoRiccardi
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