Kim, Ki Hang Boolean matrix theory and applications. (English) Zbl 0495.15003 Pure and Applied Mathematics, 70. New York - Basel: Marcel Dekker, Inc. XIV, 425 p. SFr. 115.00 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 87 Documents MSC: 15-02 Research exposition (monographs, survey articles) pertaining to linear algebra 05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.) 03G05 Logical aspects of Boolean algebras 06E05 Structure theory of Boolean algebras 20M20 Semigroups of transformations, relations, partitions, etc. 15B33 Matrices over special rings (quaternions, finite fields, etc.) 15A09 Theory of matrix inversion and generalized inverses 15A18 Eigenvalues, singular values, and eigenvectors Keywords:Boolean matrix theory; matrices over a binary Boolean algebra; binary relations; bibliography; textbook; Boolean vectors and matrices; Green’s relations; rank; eigenvectors; quadratic equations; maximal subgroups; group complexity; inverses; generalized inverses; minimum norm and least squares generalized inverses; Thierrin-Vagner inverses; Moore-Penrose inverses; asymptotic forms; oscillatory matrices; primitive matrices; fuzzy matrices; examples Citations:Zbl 0033.006 PDFBibTeX XML