Results 41 to 50 of about 16,194,429 (375)
Thermodynamic Partition Function of Matrix Superstrings
, 2001 We show that, in the limit of zero string coupling, $g_s \to 0$, the thermodynamic partition function of matrix string theory is identical to that of the finite temperature, discrete light-cone quantised (DLCQ) type IIA superstring.
Alvarez +32 more
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A Formula for the Fréchet Derivative of a Generalized Matrix Function
SIAM Journal on Matrix Analysis and Applications, 2017 We state and prove an analogue of the Daleckii--Krein theorem, thus obtaining an explicit formula for the Frechet derivative of generalized matrix functions.
V. Noferini
semanticscholar +1 more source
A remark on the matrix Airy function
, 2001 An integral representation for matrix Airy function is presentedComment: 4 ...
A. M. Perelomov +6 more
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Variational Properties of Matrix Functions via the Generalized Matrix-Fractional Function [PDF]
SIAM Journal on Optimization, 2019 We show that many important convex matrix functions can be represented as the partial infimal projection of the generalized matrix fractional (GMF) and a relatively simple convex function. This representation provides conditions under which such functions are closed and proper as well as formulas for the ready computation of both their conjugates and ...
James V. Burke, Yuan Gao, Tim Hoheisel
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Some Representations of the Modified Degenerate Gamma Matrix Function [PDF]
Sahand Communications in Mathematical AnalysisThe main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced and some of its properties have
İnci Ege, Kwara Nantomah
doaj +1 more source
Four-point function in the IOP matrix model [PDF]
, 2016 The IOP model is a quantum mechanical system of a large-$N$ matrix oscillator and a fundamental oscillator, coupled through a quartic interaction. It was introduced previously as a toy model of the gauge dual of an AdS black hole, and captures a key ...
Michel, Ben +3 more
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Stochastic Conditioning of Matrix Functions [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2014 We investigate the sensitivity of matrix functions to random noise in their input. We propose the notion of a stochastic condition number, which determines, to first order, the sensitivity of a matrix function to random noise. We derive an upper bound on the stochastic condition number that can be estimated efficiently by using “small-sample ...
Gratton, Serge, Titley-Peloquin, David
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Recovery of the Dirac system from the rectangular Weyl matrix function [PDF]
, 2011 Weyl theory for Dirac systems with rectangular matrix potentials is non-classical. The corresponding Weyl functions are rectangular matrix functions. Furthermore, they are non-expansive in the upper semi-plane.
B. Fritzsche +3 more
semanticscholar +1 more source
A remark on the three approaches to 2D Quantum gravity
, 2010 The one-matrix model is considered. The generating function of the correlation numbers is defined in such a way that this function coincide with the generating function of the Liouville gravity.
A. A. Belavin +11 more
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Double piling structure of matrix monotone functions and of matrix convex functions
Linear Algebra and its Applications, 2009 13pages
Hiroyuki Osaka, Jun Tomiyama
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