Results 41 to 50 of about 13,801,421 (357)

Some Representations of the Modified Degenerate Gamma Matrix Function [PDF]

Sahand Communications in Mathematical Analysis
The 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

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
openaire   +5 more sources

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, B. Kirstein, I. Roitberg, A. Sakhnovich   +3 more
semanticscholar   +1 more source

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
openaire   +3 more sources

Endocytic recycling is central to circadian collagen fibrillogenesis and disrupted in fibrosis

eLife
Collagen-I fibrillogenesis is crucial to health and development, where dysregulation is a hallmark of fibroproliferative diseases. Here, we show that collagen-I fibril assembly required a functional endocytic system that recycles collagen-I to assemble ...
Joan Chang, Adam Pickard, Jeremy A Herrera, Sarah O'Keefe, Richa Garva, Matthew Hartshorn, Anna Hoyle, Lewis Dingle, John Knox, Thomas A Jowitt, Madeleine Coy, Jason Wong, Adam Reid, Yinhui Lu, Cédric Zeltz, Rajamiyer V Venkateswaran, Patrick T Caswell, Stephen High, Donald Gullberg, Karl E Kadler   +19 more
doaj   +1 more source

On the incomplete Lauricella matrix functions of several variables [PDF]

arXiv, 2020
In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of $n$ variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection
arxiv  

Double piling structure of matrix monotone functions and of matrix convex functions

Linear Algebra and its Applications, 2009
13pages
Hiroyuki Osaka, Jun Tomiyama
openaire   +3 more sources

Combining transient dynamics and logistic‐asymptotic growth to study the recovery of two seabird populations after rat eradication

Population Ecology, EarlyView.
This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier, Christophe Barbraud, Maxime Amy, Sabine Orlowski, Jean Hivert, Gabrielle Dicque, Matthieu Le Corre   +6 more
wiley   +1 more source

Computing the matrix exponential with the double exponential formula

Special Matrices
This article considers the computation of the matrix exponential eA{{\rm{e}}}^{A} with numerical quadrature. Although several quadrature-based algorithms have been proposed, they focus on (near) Hermitian matrices.
Tatsuoka Fuminori, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
doaj   +1 more source

Network topology drives population temporal variability in experimental habitat networks

Population Ecology, EarlyView.
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu, J. Angus Webb, William D. Bovill, Elise L. King   +3 more
wiley   +1 more source