搜索结果: 1-9 共查到“数学 Conjugate gradient”相关记录9条 . 查询时间(0.062 秒)
A Nonlinear Conjugate Gradient Algorithm with An Optimal Property and An Improved Wolfe Line Search
conjugate gradient method memoryless BFGS method unconstrained optimization global convergence Wolfe line search
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2012/8/10
In this paper, we seek the conjugate gradient direction closest to the direction of the
scaled memoryless BFGS method and propose a family of conjugate gradient methods for
unconstrained optimizatio...
A cooperative conjugate gradient method for linear systems permitting multithread implementation of low complexity
cooperative conjugate gradient method linear systems multithread implementation low complexity Numerical Analysis
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2012/4/17
This paper proposes a generalization of the conjugate gradient (CG) method used to solve the equation $Ax=b$ for a symmetric positive definite matrix $A$ of large size $n$. The generalization consists...
Optimal learning rates for Kernel Conjugate Gradient regression
Optimal learning rates Kernel Conjugate Gradient regression
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2010/12/14
We prove rates of convergence in the statistical sense for kernel-based least squares regression using a conjugate gradient algorithm, where regularization against overfit-ting is obtained by early st...
A Revised Conjugate Gradient Projection Algorithm for Inequality Constrained Optimizations
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2007/12/12
A revised conjugate gradient projection method for nonlinear inequality constrained optimization problems is proposed in the paper, since the search direction is the combination of the conjugate proje...
PRECONDITIONED CONJUGATE GRADIENT METHODS FOR INTEGRAL EQUATIONS OF THE SECOND KIND DEFINED ON THE HALF-LINE
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2007/12/11
We consider solving integral equations of the second kind
defined on the half-line $[0,\infty)$ by the preconditioned
conjugate gradient method. Convergence is known to be
slow due to the non-compa...
Convergence Properties of the Dependent PRP Conjugate Gradient Methods
Conjugate gradient convergence property line search
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2007/12/11
In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient ...
A Restarted Conjugate Gradient Method for Ill-posed Problems
Ill-posed problems restarted CG damped discrepancy principle
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2007/12/11
This paper presents a restarted conjugate gradient iterative algorithm for solving ill-posed problems. The damped Morozov's discrepancy principle is used as a stopping rule. Numerical experiments are ...
Conjugate Gradient Methods with Armijo-type Line Searches
unconstrained optimization
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2007/12/11
Two Armijo-type line searches are proposed in this paper for nonlinear conjugate gradient methods. Under these line searches, global convergence results are established for several famous conjugate gr...
ORDERING METHODS FOR PRECONDITIONED CONJUGATE GRADIENT METHODS APPLIED TO UNSTRUCTURED GRID PROBLEMS
ordering method preconditioned conjugate gradient method
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2007/3/28
It is well known that the ordering of the unknowns can have a signicant eect on the convergence of Preconditioned Conjugate Gradient (PCG) methods. There has been considerable experimental work on the...