Results 1 to 10 of about 13,801,421 (357)
On the matrix function $_pR_q(A, B; z)$ and its fractional calculus properties [PDF]
Communications in Mathematics, Volume 31 (2023), Issue 1 (November
4, 2022) cm:10205, 2022 The main objective of the present paper is to introduce and study the function $_pR_q(A, B; z)$ with matrix parameters and investigate the convergence of this matrix function. The contiguous matrix function relations, differential formulas and the integral representation for the matrix function $_pR_q(A, B; z)$ are derived.
Ravi Dwivedi, Reshma Sanjhira
arxiv +3 more sources
Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
Mathematics, 2022 The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal +3 more
doaj +2 more sources
Regular approximate factorization of a class of matrix-function with an unstable set of partial indices. [PDF]
Proc Math Phys Eng Sci, 2018 From the classic work of Gohberg & Krein (1958 Uspekhi Mat. Nauk. XIII, 3–72. (Russian).), it is well known that the set of partial indices of a non-singular matrix function may change depending on the properties of the original matrix.
Mishuris G, Rogosin S.
europepmc +3 more sources
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 +4 more
doaj +2 more sources
Structure and Function of Human Matrix Metalloproteinases
Cells, 2020 The extracellular matrix (ECM) is a macromolecules network, in which the most abundant molecule is collagen. This protein in triple helical conformation is highly resistant to proteinases degradation, the only enzymes capable of degrading the collagen ...
Helena Laronha, Jorge Caldeira
doaj +2 more sources
Generalized Matrix Functions [PDF]
Transactions of the American Mathematical Society, 1965 Marvin Marcus, Henryk Minc
+4 more sources
On a Characterisation of Matrix Functions which are Differences of Two Monotone Matrix Functions [PDF]
Proceedings of the American Mathematical Society, 1972 The class of matrix functions of ’bounded variation’ was introduced by O. Dobsch in a paper published in 1937 [2]. The consideration of this class of functions immediately gives rise to the consideration of those matrix functions of order n on an interval [a, b] that are representable as the difference of two monotone matrix functions on that interval.
Harkrishan Lal Vasudeva
openalex +3 more sources
On the hypergeometric matrix function
Journal of Computational and Applied Mathematics, 1998 AbstractThis paper deals with the study of the hypergeometric function with matrix arguments F(A,B;C;z). Conditions for matrices A, B, C so that the series representation of the hypergeometric function be convergent for ¦z¦ = 1 and satisfies a matrix differential equation are given.
Juan Carlos Cortés, Lucas Jódar
openaire +3 more sources
Fast computation of matrix function-based centrality measures for layer-coupled multiplex networks. [PDF]
Physical Review E, 2021 Centrality measures identify and rank the most influential entities of complex networks. In this paper, we generalize matrix function-based centrality measures, which have been studied extensively for single-layer and temporal networks in recent years to
Kai Bergermann, M. Stoll
semanticscholar +1 more source
Error bounds for Lanczos-based matrix function approximation [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 We analyze the Lanczos method for matrix function approximation (Lanczos-FA), an iterative algorithm for computing $f(\mathbf{A}) \mathbf{b}$ when $\mathbf{A}$ is a Hermitian matrix and $\mathbf{b}$ is a given mathbftor.
Tyler Chen +3 more
semanticscholar +1 more source