Results 31 to 40 of about 7,857,635 (191)
By using the recently generalized version of Newton’s shell theorem, analytical equations are derived to calculate the electric interaction energy between two separated, charged spheres surrounded outside and inside by electrolyte.
István P. Sugár
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On unique solvability of the piecewise linear equation system
In this article, we take the piecewise linear equation system \(x-W|x|=b\), which is also known by absolute value equation, where \(W\in {\mathbb R}^ {n\times n}\), \(b\in {\mathbb R}^{n}\) are given and to undetermined the value of \(x\in {\mathbb R ...
Shubham Kumar, Deepmala
doaj
We consider the Euler-Darboux equation with parameters equal to 1/2 in absolute value. Since the Cauchy problem in the classical formulation in ill-posed for such values of parameters, we proposeformulations and solutions of modified Cauchy-type problems ...
M V Dolgopolov, I N Rodionova
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A New Efficient Method for Absolute Value Equations
In this paper, the two-step method is considered with the generalized Newton method as a predictor step. The three-point Newton–Cotes formula is taken as a corrector step. The proposed method’s convergence is discussed in detail.
Peng Guo +5 more
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On determining absolute entropy without quantum theory or the third law of thermodynamics
We employ classical thermodynamics to gain information about absolute entropy, without recourse to statistical methods, quantum mechanics or the third law of thermodynamics. The Gibbs–Duhem equation yields various simple methods to determine the absolute
Andrew M Steane
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Improved Joule Thomson equation of supercritical CO2-rich natural gas in separation system
The rapid expansion of supercritical gas technology for high-content CO2 separation from natural gas is a promising avenue of research. However, CO2-rich natural gas cools immediately after being separated and expands when the CO2 dew point is reached in
Saripudin +4 more
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Improved Harmony Search Algorithm with Chaos for Absolute Value Equation [PDF]
In this paper, an improved harmony search with chaos (HSCH) is presented for solving NP-hard absolute value equation (AVE) Ax - |x| = b, where A is an arbitrary square matrix whose singular values exceed one. The simulation results in solving some given
Yong, Longquan; Xidian University, Shaanxi University of Technology +3 more
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A new concave minimization algorithm for the absolute value equation solution
In this paper, we study the absolute value equation (AVE) Ax- b= | x|. One effective approach to handle AVE is by using concave minimization methods. We propose a new method based on concave minimization methods. We establish its finite convergence under
Hladík, Milan +3 more
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Absolute Value Equation Solution via Dual Complementarity [PDF]
By utilizing a dual complementarity condition, we propose an iterative method for solving the NPhard absolute value equation (AVE): Ax?|x| = b, where A is an n n square matrix.
Mangasarian, Olvi
core
Method of alternating projections for the general absolute value equation
A novel approach for solving the general absolute value equation Ax+B|x|=c$$Ax+B|x| = c$$ where A,B∈IRm×n$$A,B\in \textrm{I}\! \textrm{R}^{m\times n}$$ and c∈IRm$$c\in \textrm{I}\! \textrm{R}^m$$ is presented.
Tam, MK, Alcantara, JH, Chen, JS
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