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- W788972437 abstract "The primary result in this paper is a set of O(n) time algorithms to determine whether a speci ed real, symmetric matrix is a member of any of several closely related classes: the MMA-matrices; the inverse MMA-matrices; the strictly positive, positive de nite matrices whose eigenvectors form a Soules basis; and the strictly ultrametric matrices. When the class membership question is answered in the a rmative for anMMA-matrix or an inverseMMA-matrix, the algorithms also yield the complete spectral decomposition of the matrix in question. Additional results in this paper include an algorithmic test for when a matrix is a Soules matrix, and a construction for Soules bases. AMS subject classi cations. 15A48, 15A18" @default.
- W788972437 created "2016-06-24" @default.
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- W788972437 date "1998-01-01" @default.
- W788972437 modified "2023-10-16" @default.
- W788972437 title "A polynomial time spectral decomposition test for certain classes of inverse M-matrices" @default.
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- W788972437 doi "https://doi.org/10.13001/1081-3810.1019" @default.
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