Results 31 to 40 of about 16,194,429 (375)
Convexity Conditions of Kantorovich Function and Related Semi-infinite Linear Matrix Inequalities [PDF]
, 2010 The Kantorovich function $(x^TAx)(x^T A^{-1} x)$, where $A$ is a positive definite matrix, is not convex in general. From matrix/convex analysis point of view, it is interesting to address the question: When is this function convex?
Zhao, Yun-Bin
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Functional Identities on Matrix Algebras [PDF]
Algebras and Representation Theory, 2015 Comment: 20 pages, comments welcome, version 2- applications have been ...
Špela Špenko +2 more
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On the Matrix Mittag–Leffler Function: Theoretical Properties and Numerical Computation
Mathematics, 2019 Many situations, as for example within the context of Fractional Calculus theory, require computing the Mittag−Leffler (ML) function with matrix arguments. In this paper, we collect theoretical properties of the matrix ML function.
Marina Popolizio
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Some Relations on the rRs(P,Q,z) Matrix Function
Axioms, 2023 In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata +2 more
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Journal of Enzyme Inhibition and Medicinal Chemistry, 2022 Emerging drug resistance is generating an urgent need for novel and effective antibiotics. A promising target that has not yet been addressed by approved antibiotics is the bacterial DNA gyrase subunit B (GyrB), and GyrB inhibitors could be effective ...
Wenjie Xue +11 more
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Inverting a Matrix Function around a Singularity via Local Rank Factorization
SIAM Journal on Matrix Analysis and Applications, 2016 This paper proposes a recursive procedure that characterizes the order of the pole and the coecients of the Laurent series representation of the inverse of a regular analytic matrix function. The algorithm consists in performing a finite sequence of rank
Massimo Franchi, P. Paruolo
semanticscholar +1 more source
Accounting for the Role of Long Walks on Networks via a New Matrix Function [PDF]
, 2016 We introduce a new matrix function for studying graphs and real-world networks based on a double-factorial penalization of walks between nodes in a graph. This new matrix function is based on the matrix error function.
Estrada, Ernesto, Silver, Grant
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SIAM Journal on Scientific Computing, 2016 The efficient computation of matrix function vector products has recently become an important area of research, driven in particular by two important applications: the numerical solution of fractional partial differential equations and the integration of
Megan E. Farquhar +3 more
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Global unitary fixing and matrix-valued correlations in matrix models [PDF]
, 2003 We consider the partition function for a matrix model with a global unitary invariant energy function. We show that the averages over the partition function of global unitary invariant trace polynomials of the matrix variables are the same when ...
Adler, Stephen L., Horwitz, Lawrence P.
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Extended k-Gamma and k-Beta Functions of Matrix Arguments
Mathematics, 2020 Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented ...
Ghazi S. Khammash +2 more
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