Factorization of block matrices

作者: Robert L. Ellis , Israel Gohberg , David Lay

DOI: 10.1016/0024-3795(85)90069-2

关键词: FactorizationIncomplete LU factorizationDixon's factorization methodCombinatoricsBlock matrixQuadratic sieveIncomplete Cholesky factorizationCongruence of squaresMathematicsFactorization 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.

参考文章(3)
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L. Elsner, On some algebraic problems in connection with general elgenvalue algorithms Linear Algebra and its Applications. ,vol. 26, pp. 123- 138 ,(1979) , 10.1016/0024-3795(79)90175-7
Israel Gohberg, Seymour Goldberg, Finite dimensional Wiener-Hopf equations and factorizations of matrices Linear Algebra and its Applications. ,vol. 48, pp. 219- 236 ,(1982) , 10.1016/0024-3795(82)90109-4