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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 15 | 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 | ||
| 15-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 15-06 | Proceedings, conferences, collections, etc. | ||
| 15-99 | Linear and multilinear algebra; matrix theory (not classified at a more specific level) | ||
| 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 | ||
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