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Monotonicity and restart in fast gradient methods
flat gradient algorithm oscillation values
2015/8/7
Fast gradient methods are known to be non-monotone algorithms, and oscillations typically occur around the solution. To avoid this behavior, we propose in this paper a fast gradient method with restar...
Semi-Implicit Finite Element Method and its Convergence of Single-Particle Reconstruction Using L2-Gradient Flow
Semi-Implicit Finite Element Method Convergence Single-Particle Reconstruction
2012/8/10
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional
density function from a set of two dimensional electron microscopy images. By
minimizing an energy fun...
Gradient Flow Based Semi-implicit Finite Element Method and its Convergence Analysis for Image Reconstruction
Gradient flow, Finite element method, Convergence analysis, Image reconstruction
2012/8/10
In this paper, we present a novel L2-gradient flow based semi-implicit finite element
method for solving a variational model of image reconstruction under various data scenarios,
especially for the ...
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
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
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...
Positive Solutions for the p-Laplacian with Dependence on the Gradient
Positive Solutions the p-Laplacian
2010/11/23
We prove a result of existence of positive solutions of the Dirichlet problem for $-\Delta_p u=\mathrm{w}(x)f(u,\nabla u)$ in a bounded domain $\Omega\subset\mathbb{R}^N$, where $\Delta_p$ is the $p$...
A Revised Conjugate Gradient Projection Algorithm for Inequality Constrained Optimizations
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...
ORDERING METHODS FOR PRECONDITIONED CONJUGATE GRADIENT METHODS APPLIED TO UNSTRUCTURED GRID PROBLEMS
ordering method preconditioned conjugate gradient method
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...