Results 21 to 30 of about 34,257 (101)
The power of bidiagonal matrices [PDF]
The purpose of this paper is to highlight the utility of bidiagonal matrices and show how factorizations of matrices into bidiagonal factors can be ...
Morneau-Guérin, Frédéric
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Accurate bidiagonal decomposition of collocation matrices of weighted ϕ‐transformed systems
Numerical Linear Algebra with Applications, 2020 SummaryGiven a system of functions, we introduce the concept of weighted φ‐transformed system, which will include a very large class of useful representations in Statistics and Computer Aided Geometric Design. An accurate bidiagonal decomposition of the collocation matrices of these systems is obtained.
Esmeralda Mainar +2 more
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Bidiagonal factorization of tetradiagonal matrices and Darboux transformations [PDF]
, 2023 Recently a spectral Favard theorem for bounded banded lower Hessenberg matrices that admit a positive bidiagonal factorization was presented. These type of matrices are oscillatory.
Mañas Baena, Manuel Enrique +7 more
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Linear Algebra and its Applications, 2021 Agencia Estatal de ...
Marco García, Ana +2 more
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Accurate Computations with Block Checkerboard Pattern Matrices
MathematicsIn this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some ...
Jorge Delgado +2 more
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Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations [PDF]
Applied Mathematics and Computation, 2006 We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix A based on bidiagonalization of A to a real bidiagonal matrix B using quaternionic Householder transformations. Computation of the svd of B using an existing subroutine library such as lapack provides the singular values of A.
Stephen J. Sangwine, Nicolas Le Bihan
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Totally Positive Wronskian Matrices and Symmetric Functions
AxiomsThe elements of the bidiagonal decomposition (BD) of a totally positive (TP) collocation matrix can be expressed in terms of symmetric functions of the nodes. Making use of this result, and studying the relation between Wronskian and collocation matrices
Pablo Díaz +2 more
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Bidiagonal Decompositions of Vandermonde-Type Matrices of Arbitrary Rank
, 2022 We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (q-, h-) Bernstein-Vandermonde ones, among others.
Martinez, Jose-Javier +6 more
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Singular random matrix decompositions: distributions. [PDF]
, 2002 Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for ...
González Farías, Graciela +1 more
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Accurate bidiagonal decomposition of totally positive Cauchy–Vandermonde matrices and applications
Linear Algebra and its Applications, 2017 Cauchy–Vandermonde matrices play a fundamental role in rational interpolation theory and in other fields. When all their corresponding nodes are different and positive and all poles are different and negative and follow adequate orderings, these matrices are totally positive.
Marco, Ana +2 more
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