Results 161 to 170 of about 4,217,963 (196)

Sufficient descent nonlinear conjugate gradient methods with conjugacy condition

Numerical Algorithms, 2009
The authors consider unconstrained optimization problems with a continuously differentiable objective function \(f: \mathbb{R}^n\to\mathbb{R}\). A class of modified conjugate gradient methods is proposed for solving the problems. The methods in this class have a common property that the direction \(d_k\) generated at iteration \(k\) and corresponding ...
Cheng, Wanyou, Liu, Qunfeng
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Covering relations and Lyapunov condition for topological conjugacy

Dynamical Systems, 2015
In this paper, we study stability of non-autonomous discrete dynamical systems. For a two-sided non-autonomous systems with covering relations determined by a transition matrix A, we show that any small C0 perturbed system has a sequence of compact invariant sets restricted to which the system is topologically semi-conjugate to σA, the two-sided ...
Ming-Chia Li, Ming-Jiea Lyu
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Condition of conjugacy of WCG-spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1978
It is proved that a WCG-space E is conjugate to a Banach space if and only if its conjugate space E′ contains a norm-closed total subspace M, consisting of functionals which attain supremum on the unit sphere. Moreover, M′ = E in the duality established between E and E′.
A. Plichko
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A New Perry Conjugate Gradient Method with the Generalized Conjugacy Condition

2010 International Conference on Computational Intelligence and Software Engineering, 2010
The Perry conjugate gradient method is generalized, from which a new descent algorithm, PDCGy, is presented and its global convergence is proven under Wolfe line searches. Preliminary numerical results for a set of 720 unconstrained optimization test problems verify the performance of the algorithm and show that the PDCGy algorithm is competitive with ...
Dongyi Liu, Yingfeng Shang
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A MODIFIED CONJUGATE GRADIENT METHOD WITH SUFFICIENT CONDITION AND CONJUGACY CONDITION

Far East Journal of Mathematical Sciences (FJMS), 2016
Awad Abdelrahman, Mustafa Mamat, Zabidin Salleh, Mohd Rivaie   +3 more
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New version of the three-term conjugate gradient method based on spectral scaling conjugacy condition that generates descent search direction

Applied Mathematics and Computation, 2015
Xiao-Liang Dong, Hongwei Liu, Yu Bo He
semanticscholar   +3 more sources

Applying the Powell's Symmetrical Technique to Conjugate Gradient Methods with the Generalized Conjugacy Condition

Numerical Functional Analysis and Optimization, 2016
Noureddine Benrabia, Y. Laskri, H. Guebbai, M. Al-Baali   +3 more
semanticscholar   +3 more sources

Coprime action and arithmetical conditions on invariant conjugacy classes

Science China Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shao, Changguo, Beltrán, Antonio
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Necessary and sufficient conditions for the conjugacy of Smale regular homeomorphisms

Sbornik: Mathematics, 2021
Abstract The class of Smale regular homeomorphisms of closed topological manifolds, with nonwandering set consisting of a finite number of periodic orbits of hyperbolic type, is considered. This class contains the Morse-Smale diffeomorphisms of smooth closed manifolds.
Zhuzhoma, E. V., Medvedev, V. S.
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An improved spectral CG method based on Dai–Liao conjugacy condition and quasi-Newton direction

Optimization Methods and Software
In this article, with a convex combination of two conjugate gradient (CG) parameters, a novel improved CG parameter is introduced that leads to a new CG method with more appropriate theoretical and computational properties.
Najme Benvari, S. Hosseini
semanticscholar   +1 more source