Results 31 to 40 of about 1,482,381 (145)

Cramer's rule applied to flexible systems of linear equations [PDF]

open access: yes, 2012
. Systems of linear equations, called flexible systems, with coefficients having uncertainties of type o (.) or O (.) are studied. In some cases an exact solution may not exist but a general theorem that guarantees the existence of an admissible solution,
Justino, Julia, van den Berg, Imme
core   +2 more sources

Generalized finite difference method applied to solve seismic wave propagation problems. Examples of 3D simulations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7706-7726, 15 May 2025.
The simulation of seismic wave propagation generally requires dealing with complex tridimensional geometries that are irregular in shape and have non‐uniform properties, features that make the application of the generalized finite difference method in this field interesting. This work continues the extensive developments by the research team focused on
Jesús Flores   +4 more
wiley   +1 more source

LEARNING GAUSS-JORDAN ELIMINATION USING MS EXCEL [PDF]

open access: yes, 2014
In Linear Algebra, one of the most important method to learn is Gauss-Jordan Elimination. This method almost used in every basic concepts but it is difficult to learn. Fortunately, MS Windows provide one of its application, that is MS Excel, for students
Meifry, Manuhutu
core  

Exact and efficient calculation of Lagrange multipliers in constrained biological polymers: Proteins and nucleic acids as example cases [PDF]

open access: yes, 2011
In order to accelerate molecular dynamics simulations, it is very common to impose holonomic constraints on their hardest degrees of freedom. In this way, the time step used to integrate the equations of motion can be increased, thus allowing, in ...
Alonso, José Luis   +2 more
core   +3 more sources

Optimizing Photovoltaic Soiling Loss Predictions in Louisiana: A Comparative Study of Measured and Modeled Data Using a Novel Approach

open access: yesProgress in Photovoltaics: Research and Applications, Volume 33, Issue 4, Page 560-579, April 2025.
Traditional soiling models assume complete cleaning of PV panels after rain reaches a threshold, but in‐field testing shows this assumption is flawed. Improved Kimber and HSU models were developed to more accurately represent postrainfall soiling recovery, achieving RMSE reductions of up to 23% and MAPE under 1%.
Deepak Jain Veerendra Kumar   +5 more
wiley   +1 more source

Menyelesaikan Sistem Persamaan Linier Menggunakan Analisis Svd [PDF]

open access: yes, 2010
Linear equation system, Ax = b, may be consistent or inconsistent. The approximate solution of inconsistent of linear equation system can be determined.
ahmad, I. H. (irdam)   +1 more
core  

Energetics of Point Defects in D0a Ag3Sn: First‐Principles Calculations

open access: yesphysica status solidi (b), Volume 262, Issue 3, March 2025.
The formation enthalpies of point defects in the Ag3Sn phase are determined at 0 K using density functional theory calculations. The point‐defect concentrations at 300 K are predicted using the Wagner–Schottky thermodynamic model. The AgSn antisite defect is the dominant point defect in Ag3Sn.
Nikolay Zotov
wiley   +1 more source

Definition of Complex One‐Parameter Generalized Moore–Penrose Inverses Using Differential Transformations

open access: yesComputational and Mathematical Methods, Volume 2025, Issue 1, 2025.
This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan   +3 more
wiley   +1 more source

Discuss of Error Analysis of Gauss-Jordan Elimination For Linear Algebraic Systems

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2017
The paper establishes explicit representations of the errors and residuals of approximate solutions of triangular linear systems by Jordan elimination and of general linear algebraic systems by Gauss-Jordan elimination as functions of the data ...
S.Ab. M. Abbas
doaj  

Cristal and Azurite: new tools for integration-by-parts reductions

open access: yes, 2017
Scattering amplitudes computed at a fixed loop order, along with any other object computed in perturbative quantum field theory, can be expressed as a linear combination of a finite basis of loop integrals.
Georgoudis, Alessandro   +2 more
core   +1 more source

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