Mathematical Sciences Classification System
15Axx - Basic linear algebra
-
15A03Vector spaces, linear dependence, rank
-
15A04Linear transformations, semilinear transformations
-
15A06Linear equations
-
15A09Matrix inversion, generalized inverses
-
15A12Conditioning of matrices [See also 65F35]
-
15A15
-
15A16Matrix exponential and similar functions of matrices
-
15A18Eigenvalues, singular values, and eigenvectors
-
15A21Canonical forms, reductions, classification
-
15A22Matrix pencils [See also 47A56]
-
15A23Factorization of matrices
-
15A24Matrix equations and identities
-
15A27Commutativity
-
15A29Inverse problems
-
15A30
-
15A33Matrices over special rings (quaternions, finite fields, etc.)
-
15A36Matrices of integers
[See also 11C20] -
15A39Linear inequalities
-
15A42Inequalities involving eigenvalues and eigenvectors
-
15A45Miscellaneous inequalities involving matrices
-
15A48Positive matrices and their generalizations; cones of matrices
-
15A51Stochastic matrices
-
15A52Random matrices
-
15A54Matrices over function rings in one or more variables
-
15A57Other types of matrices (Hermitian, skew-Hermitian, etc.)
-
15A60
-
15A63Quadratic and bilinear forms, inner products [See mainly 11Exx]
-
15A66Clifford algebras, spinors
-
15A69Multilinear algebra, tensor products
-
15A72
-
15A75Exterior algebra, Grassmann algebras
-
15A78Other algebras built from modules
-
15A80Max-plus and related algebras
-
15A83Matrix completion problems
-
15A86Linear preserver problems
-
15A90Applications of matrix theory to physics
-
15A99Miscellaneous topics