Results 21 to 30 of about 4,444,439 (338)

Convex Matrix Functions [PDF]

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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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
core   +1 more source

Spectrum-Adapted Polynomial Approximation for Matrix Functions with Applications in Graph Signal Processing

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, David I. Shuman, Shashanka Ubaru, Yousef Saad   +3 more
doaj   +1 more source

U-duality from Matrix Membrane Partition Function [PDF]

, 2001
We analyse supermembrane instantons (fully wrapped supermembranes) by computing the partition function of the three-dimensional supersymmetrical U(N) matrix model under periodic boundary conditions.
Affleck, Austing, Bachas, Bergshoeff, Cremmer, de Wit, de Wit, de Wit, de Wit, de Wit, Dijkgraaf, Dorey, Fumihiko Sugino, Ganor, Green, Green, Hayakawa, Kiritsis, Kostov, Lukas, Moore, Obers, Pierre Vanhove, Pioline, Pioline, Porrati, Russo, Sethi, Sugino, Taylor, Townsend, Townsend, Vafa, Witten, Witten, Wynter, Yi   +36 more
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A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function

Open Physics, 2022
The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi, Goyal Rahul, Oros Georgia Irina, Agarwal Praveen, Momani Shaher   +4 more
doaj   +1 more source

Differentiating matrix functions [PDF]

Operators and Matrices, 2013
Multivariable, real-valued functions induce matrix-valued functions defined on the space of d-tuples of n-times-n pairwise-commuting self-adjoint matrices. We examine the geometry of this space of matrices and conclude that the best notion of differentiation of these matrix-valued functions is differentiation along curves.
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Matrix string partition functions [PDF]

Physics Letters B, 1998
harvmac (b), 15 pages.
Kostov, Ivan K., Vanhove, Pierre
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Numerical Solution of Multiterm Fractional Differential Equations Using the Matrix Mittag–Leffler Functions

Mathematics, 2018
Multiterm fractional differential equations (MTFDEs) nowadays represent a widely used tool to model many important processes, particularly for multirate systems.
Marina Popolizio
doaj   +1 more source

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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