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< | 15-XX | 15Bxx >
15-XX Linear and multilinear algebra; matrix theory
15Axx Basic linear algebra
15A03   Vector spaces, linear dependence, rank, lineability
15A04   Linear transformations, semilinear transformations
15A06   Linear equations (linear algebraic aspects)
15A09   Theory of matrix inversion and generalized inverses
15A10   Applications of generalized inverses
15A12   Conditioning of matrices [See also 65F35]
15A15   Determinants, permanents, traces, other special matrix functions [See also 19B10, 19B14]
15A16   Matrix exponential and similar functions of matrices
15A18   Eigenvalues, singular values, and eigenvectors
15A20   Diagonalization, Jordan forms
15A21   Canonical forms, reductions, classification
15A22   Matrix pencils [See also 47A56]
15A23   Factorization of matrices
15A24   Matrix equations and identities
15A27   Commutativity of matrices
15A29   Inverse problems in linear algebra
15A30   Algebraic systems of matrices [See also 16S50, 20Gxx, 20Hxx]
15A39   Linear inequalities of matrices
15A42   Inequalities involving eigenvalues and eigenvectors
15A45   Miscellaneous inequalities involving matrices
15A54   Matrices over function rings in one or more variables
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
15A67   Applications of Clifford algebras to physics, etc.
15A69   Multilinear algebra, tensor calculus
15A72   Vector and tensor algebra, theory of invariants [See also 13A50, 14L24]
15A75   Exterior algebra, Grassmann algebras
15A78   Other algebras built from modules
15A80   Max-plus and related algebras
15A83   Matrix completion problems
15A86   Linear preserver problems
15A99   None of the above, but in this section
< | 15-XX | 15Bxx >
 
 
American Mathematical Society