Mathematics Subject Classification 1991

15-XX Linear and multilinear algebra; matrix theory {(finite and infinite)} ( 0 Dok.)

• 15-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 15-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 15-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 15-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 15-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 15-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 15A03 Vector spaces, linear dependence, rank ( 0 Dok.)
• 15A04 Linear transformations, semilinear transformations ( 0 Dok.)
• 15A06 Linear equations ( 0 Dok.)
• 15A09 Matrix inversion, generalized inverses ( 0 Dok.)
• 15A12 Conditioning of matrices, See also {65F35} ( 0 Dok.)
• 15A15 Determinants, permanents, other special matrix functions, See also {19B10, 19B14} ( 0 Dok.)
• 15A18 Eigenvalues, singular values, and eigenvectors ( 0 Dok.)
• 15A21 Canonical forms, reductions, classification ( 0 Dok.)
• 15A22 Matrix pencils, See also {47A56} ( 0 Dok.)
• 15A23 Factorization of matrices ( 0 Dok.)
• 15A24 Matrix equations and identities ( 0 Dok.)
• 15A27 Commutativity ( 0 Dok.)
• 15A30 Algebraic systems of matrices, See also {16S50, 20Gxx, 20Hxx} ( 0 Dok.)
• 15A33 Matrices over special rings (quaternions, finite fields, etc.) ( 0 Dok.)
• 15A36 Matrices of integers, See also {11C20} ( 0 Dok.)
• 15A39 Linear inequalities ( 0 Dok.)
• 15A42 Inequalities involving eigenvalues and eigenvectors ( 0 Dok.)
• 15A45 Miscellaneous inequalities involving matrices ( 0 Dok.)
• 15A48 Positive matrices and their generalizations; cones of matrices ( 0 Dok.)
• 15A51 Stochastic matrices ( 0 Dok.)
• 15A52 Random matrices ( 0 Dok.)
• 15A54 Matrices over function rings in one or more variables ( 0 Dok.)
• 15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.) ( 0 Dok.)
• 15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory, See also {65F35, 65J05} ( 0 Dok.)
• 15A63 Quadratic and bilinear forms, inner products See mainly{ 11Exx} ( 0 Dok.)
• 15A66 Clifford algebras, spinors ( 0 Dok.)
• 15A69 Multilinear algebra, tensor products ( 0 Dok.)
• 15A72 Vector and tensor algebra, theory of invariants, See Also {13A50, 14D25} ( 0 Dok.)
• 15A75 Exterior algebra, Grassmann algebras ( 0 Dok.)
• 15A78 Other algebras built from modules ( 0 Dok.)
• 15A90 Applications of matrix theory to physics ( 0 Dok.)
• 15A99 Miscellaneous topics ( 0 Dok.)