Simultaneous reconstruction of the surface heat flux and the source term in 3D linear parabolic problem by modified conjugate gradient method
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4201
Abstract: Our work is devoted to an inverse problem for three-dimensional parabolic partial differential equations. When the surface temperature data are given, the problem of reconstructing the heat flux and the source term is investigated. There… read more here.
Keywords: flux source; source term; conjugate gradient; heat flux ... See more keywords
An efficient and robust structural reliability analysis method with mixed variables based on hybrid conjugate gradient direction
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DOI: 10.1002/nme.6609
Abstract: Traditional reliability analysis is based on probability theory with precise distributions. However, determining the distribution of all variables precisely is impossible due to insufficient information. Therefore, random and interval variables may be encountered, and probabilistic… read more here.
Keywords: hybrid conjugate; analysis; reliability analysis; method ... See more keywords
A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computational micromechanics
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DOI: 10.1007/s00466-020-01849-7
Abstract: For fast Fourier transform (FFT)-based computational micromechanics, solvers need to be fast, memory-efficient, and independent of tedious parameter calibration. In this work, we investigate the benefits of nonlinear conjugate gradient (CG) methods in the context… read more here.
Keywords: fft based; computational micromechanics; conjugate gradient; based computational ... See more keywords
Some three-term conjugate gradient methods with the inexact line search condition
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DOI: 10.1007/s10092-018-0258-3
Abstract: The three-term conjugate gradient methods solving large-scale optimization problems are favored by many researchers because of their nice descent and convergent properties. In this paper, we extend some new conjugate gradient methods, and construct some… read more here.
Keywords: three term; gradient methods; term conjugate; conjugate gradient ... See more keywords
Planar methods and grossone for the Conjugate Gradient breakdown in nonlinear programming
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DOI: 10.1007/s10589-017-9957-y
Abstract: This paper deals with an analysis of the Conjugate Gradient (CG) method (Hestenes and Stiefel in J Res Nat Bur Stand 49:409–436, 1952), in the presence of degenerates on indefinite linear systems. Several approaches have… read more here.
Keywords: grossone; nonlinear programming; planar methods; conjugate gradient ... See more keywords
An Accelerated Three-Term Conjugate Gradient Method with Sufficient Descent Condition and Conjugacy Condition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1377-3
Abstract: An accelerated three-term conjugate gradient method is proposed, in which the search direction can satisfy the sufficient descent condition as well as extended Dai–Liao conjugacy condition. Different from the existent methods, a dynamical compensation strategy… read more here.
Keywords: accelerated three; condition; method; term conjugate ... See more keywords
A Modified Nonlinear Conjugate Gradient Algorithm for Large-Scale Nonsmooth Convex Optimization
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DOI: 10.1007/s10957-020-01636-7
Abstract: Nonlinear conjugate gradient methods are among the most preferable and effortless methods to solve smooth optimization problems. Due to their clarity and low memory requirements, they are more desirable for solving large-scale smooth problems. Conjugate… read more here.
Keywords: large scale; nonlinear conjugate; scale nonsmooth; conjugate gradient ... See more keywords
A subspace conjugate gradient algorithm for large-scale unconstrained optimization
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DOI: 10.1007/s11075-017-0284-2
Abstract: In this paper, a subspace three-term conjugate gradient method is proposed. The search directions in the method are generated by minimizing a quadratic approximation of the objective function on a subspace. And they satisfy the… read more here.
Keywords: gradient; subspace; unconstrained optimization; conjugate gradient ... See more keywords
The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-018-01220-3
Abstract: This work is devoted to designing two conjugate gradient methods for the least Frobenius norm solution of the generalized periodic Sylvester matrix equations. When the studied problem is consistent, the first conjugate gradient method can… read more here.
Keywords: generalized periodic; periodic sylvester; sylvester matrix; conjugate gradient ... See more keywords
An efficient conjugate gradient trust-region approach for systems of nonlinear equation
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DOI: 10.1007/s13370-019-00669-0
Abstract: In this paper, we introduce a combination of family of some conjugate gradient methods (CG) with the trust-region method. Whenever the trust-region algorithm is unsuccessful, a family of CG methods is used to prevent resolving… read more here.
Keywords: approach; conjugate gradient; trust region; region ... See more keywords
Globally convergent three-term conjugate gradient projection methods for solving nonlinear monotone equations
Sign Up to like & getrecommendations! Published in 2018 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-018-0206-8
Abstract: In this paper, we propose two derivative-free conjugate gradient projection methods for systems of large-scale nonlinear monotone equations. The proposed methods are shown to satisfy the sufficient descent condition. Furthermore, the global convergence of the… read more here.
Keywords: monotone equations; proposed methods; gradient projection; nonlinear monotone ... See more keywords