Results 21 to 30 of about 16,194,429 (375)
A Note on the Appell Hypergeometric Matrix Function F2
, 2020 In this article, we introduce some of the mathematical properties of the second Appell hypergeometric matrix function F2(A, B1, B2, C1, C2; z, ) including integral representations, transformation formulas, and series formulas.
M. Hidan, M. Abdalla
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Algorithms, 2020 We propose and investigate two new methods to approximate f(A)b for large, sparse, Hermitian matrices A. Computations of this form play an important role in numerous signal processing and machine learning tasks.
Tiffany Fan +3 more
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Proceedings of the American Mathematical Society, 1974 The purpose of this paper is to prove convexity properties for the tensor product, determinant, and permanent of hermitian matrices.
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Computation of Generalized Matrix Functions [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 We develop numerical algorithms for the efficient evaluation of quantities associated with generalized matrix functions [J. B. Hawkins and A. Ben-Israel, Linear and Multilinear Algebra 1(2), 1973, pp. 163-171]. Our algorithms are based on Gaussian quadrature and Golub--Kahan bidiagonalization. Block variants are also investigated. Numerical experiments
Arrigo, Francesca +2 more
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Monotone thematic factorizations of matrix functions [PDF]
, 2009 We continue the study of the so-called thematic factorizations of admissible very badly approximable matrix functions. These factorizations were introduced by V.V. Peller and N.J.
Condori, Alberto A.
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Some relations on Humbert matrix polynomials [PDF]
Mathematica Bohemica, 2016 The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
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An effective recursive formula for the Frobenius covariants in matrix functions
Special Matrices, 2017 For theoretical studies, it is helpful to have an explicit expression for a matrix function. Several methods have been used to determine the required Frobenius covariants.
Schäfer F.
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Explicit formulas for the constituent matrices. Application to the matrix functions
Special Matrices, 2015 We present a constructive procedure for establishing explicit formulas of the constituents matrices. Our approach is based on the tools and techniques from the theory of generalized Fibonacci sequences.
Taher R. Ben, Rachidi M.
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Multipole matrix elements of Green function of Laplace equation [PDF]
, 2015 Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different ...
Górka, Przemysław, Makuch, Karol
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Mathematics, 2018 Multiterm fractional differential equations (MTFDEs) nowadays represent a widely used tool to model many important processes, particularly for multirate systems.
Marina Popolizio
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