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- W897493225 abstract "A non-unit bidiagonal matrix and its inverse with simple structures are introduced. These matrices can be constructed easily using the entries of a given non-zero vector without any computations among the entries. The matrix transforms the given vector to a column of the identity matrix. The given vector can be computed back without any round off error using the inverse matrix. Since a Vandermonde matrix can also be constructed using given n quantities, it is established in this paper that Vandermonde matrices can be factorized in a simple way by applying these bidiagonal matrices. Also it is demonstrated that factors of Vandermonde and inverse Vandermonde matrices can be conveniently presented using the matrices introduced here." @default.
- W897493225 created "2016-06-24" @default.
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- W897493225 date "2015-05-01" @default.
- W897493225 modified "2023-09-23" @default.
- W897493225 title "Non-Unit Bidiagonal Matrices for Factorization of Vandermonde Matrices" @default.
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- W897493225 doi "https://doi.org/10.18052/www.scipress.com/bmsa.12.1" @default.
- W897493225 hasPublicationYear "2015" @default.
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