Results 1 to 10 of about 850 (161)

The Quadratic Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2009
The quadratic Arnoldi algorithm is a Krylov method for the solution of the quadratic eigenvalue problem, that exploits the structure of the Krylov vectors. This allows us to reduce the memory requirements by about a half. The method is an alternative to the second order Arnoldi (SOAR) method.
Karl Meerbergen
exaly   +3 more sources

Beyond Co-Occurrence: Multi-Scale Evidence for Segregation-Dominated Plant Networks in the French Alps. [PDF]

open access: yesEcol Lett
Using high‐resolution spatial data and a multi‐scale statistical framework, we disentangle plant co‐occurrence from true spatial associations across alpine communities in the French Alps. We discovered that local species associations are dependent on soil acidity and nitrogen rather than temperature. By building a global network from these associations,
Rohr M   +7 more
europepmc   +2 more sources

Generalized Arnoldi--Tikhonov Method for Sparse Reconstruction

open access: yesSIAM Journal of Scientific Computing, 2014
This paper introduces two new algorithms, belonging to the class of Arnoldi--Tikhonov regularization methods, which are particularly appropriate for sparse reconstruction. The main idea is to consider suitable adaptively defined regularization matrices that allow the usual 2-norm regularization term to approximate a more general regularization term ...
Silvia Gazzola, James G Nagy
exaly   +4 more sources

Niche Overlap Is Not Enough: Same Overlap, Contrasting Fluctuations. [PDF]

open access: yesEcol Lett
Niche overlap summarizes competitive coupling at equilibrium, but it can fail to predict out‐of‐equilibrium dynamics such as temporal abundance correlations. We show that communities with identical niche overlap can exhibit opposite correlation patterns, and that a yield‐depletion mismatch (depletion dissimilarity minus yield dissimilarity ...
Goldberg A   +3 more
europepmc   +2 more sources

Direction and Progression of Thermal Acclimation Effects on Ciliated Protist Populations Both Depend on Direction of Thermal Change. [PDF]

open access: yesEcol Evol
Previous research has demonstrated that acclimation can have positive or negative effects on population growth rates in variable thermal environments, depending on the amount of time acclimation takes. A clear picture of the timescale of acclimation may help identify the consequences of various frequencies of thermal fluctuations for population ...
Bebout J, Fox JW.
europepmc   +2 more sources

The Block Rational Arnoldi Method [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2020
The paper focuses on theoretical and numerical aspects of the problem of generating bases for block rational Krylov spaces. The authors introduce the block rational Arnoldi decompositions and provide an implicit theorem which characterizes the parameters that uniquely determine a block rational Krylov space. Numerical examples are also presented.
Steven Elsworth, Stefan Güttel
openaire   +2 more sources

Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems [PDF]

open access: yesQuantum, 2022
The characterization of open quantum systems is a central and recurring problem for the development of quantum technologies. For time-independent systems, an (often unique) steady state describes the average physics once all the transient processes have ...
Fabrizio Minganti, Dolf Huybrechts
doaj   +1 more source

A Block Arnoldi Algorithm Based Reduced-Order Model Applied to Large-Scale Algebraic Equations of a 3-D Field Problem

open access: yesApplied Sciences, 2021
In simulations of three-dimensional transient physics filled through a numerical approach, the order of the equation set of high-fidelity models is extremely high.
Ning Wang   +3 more
doaj   +1 more source

A new boundary element algorithm for a general solution of nonlinear space-time fractional dual-phase-lag bio-heat transfer problems during electromagnetic radiation

open access: yesCase Studies in Thermal Engineering, 2021
The main aim of this paper is to propose a new boundary element method (BEM) formulation for solving the nonlinear space-time fractional dual-phase-lag bio-heat transfer problems during electromagnetic radiation. Due to the advantages of BEM, such as not
Mohamed Abdelsabour Fahmy
doaj   +1 more source

Iterative Methods for the Computation of the Perron Vector of Adjacency Matrices

open access: yesMathematics, 2021
The power method is commonly applied to compute the Perron vector of large adjacency matrices. Blondel et al. [SIAM Rev. 46, 2004] investigated its performance when the adjacency matrix has multiple eigenvalues of the same magnitude.
Anna Concas   +3 more
doaj   +1 more source

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