作者: Robert L. Ellis , Israel Gohberg , David Lay
DOI: 10.1016/0024-3795(85)90069-2
关键词: Factorization 、 Incomplete LU factorization 、 Dixon's factorization method 、 Combinatorics 、 Block matrix 、 Quadratic sieve 、 Incomplete Cholesky factorization 、 Congruence of squares 、 Mathematics 、 Factorization of polynomials
摘要: Abstract An LU-type factorization theorem due to Elsner and Gohberg Goldberg is generalized block matrices. One form of the general takes LMU, where L lower-triangular, U upper-triangular, M a subpermutation matrix each whose blocks diagonal. A also given middle term diagonal matrix, applied Wiener-Hopf equations. The nonuniqueness in analyzed. special for self-adjoint matrices obtained.