15XX 


Linear and multilinear algebra; matrix theory 


1500 
General reference works (handbooks, dictionaries, bibliographies, etc.) 


1501 
Instructional exposition (textbooks, tutorial papers, etc.) 


1502 
Research exposition (monographs, survey articles) 


1503 
Historical (must also be assigned at least one classification number from Section 01) 


1504 
Explicit machine computation and programs (not the theory of computation or programming) 


1506 
Proceedings, conferences, collections, etc. 


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] 


15A16 
Matrix exponential and similar functions of matrices 


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] 


15A39 
Linear inequalities 


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 


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 


15A80 
Maxplus and related algebras 


15A83 
Matrix completion problems 


15A86 
Linear preserver problems 


15A99 
Miscellaneous topics 


15B05 
Toeplitz, Cauchy, and related matrices 


15B10 
Orthogonal matrices 


15B15 
Fuzzy matrices 


15B33 
Matrices over special rings (quaternions, finite fields, etc.) 


15B34 
Boolean and Hadamard matrices 


15B35 
Sign pattern matrices 


15B36 
Matrices of integers [See also 11C20] 


15B48 
Positive matrices and their generalizations; cones of matrices 


15B51 
Stochastic matrices 


15B52 
Random matrices 


15B57 
Hermitian, skewHermitian, and related matrices 


15B99 
None of the above, but in this section 