Search
Search Results
-
Cyclic Gradient Methods for Unconstrained Optimization
Gradient method is popular for solving large-scale problems. In this work, the cyclic gradient methods for quadratic function minimization are...
-
Fenchel Conjugate via Busemann Function on Hadamard Manifolds
In this paper we introduce a Fenchel-type conjugate, given as the supremum of convex functions, via Busemann functions. It is known that Busemann...
-
A Monotonicity Result for Norms in Conjugate Gradient Algorithms
We show a monotonicity result, enjoyed by norms of iterates of the cg method. It relates the energy norm and the norm, induced by the preconditioner....
-
Conjugate Direction Methods for Multiple Solution of Slaes
Conjugate gradient and conjugate residual methods for multiple solution of systems of linear algebraic equations (SLAEs) with the same matrices but...
-
Other Conjugate Gradient Methods
As already seen, the conjugate gradient algorithms presented so far use some principles based on: hybridization or modifications of the standard...
-
Newton acceleration on manifolds identified by proximal gradient methods
Proximal methods are known to identify the underlying substructure of nonsmooth optimization problems. Even more, in many interesting situations, the...
-
Standard Conjugate Gradient Methods
The purpose of this chapter is to present the standard conjugate gradient algorithms as well as their convergence for solving unconstrained...
-
On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control
The three-term conjugate gradient (CG) algorithms are among the efficient variants of CG algorithms for solving optimization models. This is due to...
-
Three-Term Conjugate Gradient Methods
This chapter is dedicated to presenting three-term conjugate gradient methods. For solving the nonlinear unconstrained.
-
Computing Conjugate Barrier Information for Nonsymmetric Cones
The recent interior point algorithm by Dahl and Andersen [
10 ] for nonsymmetric cones as well as earlier works [18 ,21 ] require derivative information...
-
Smoothing Strategy Along with Conjugate Gradient Algorithm for Signal Reconstruction
In this paper, we propose a new smoothing strategy along with conjugate gradient algorithm for the signal reconstruction problem. Theoretically, the...
-
Conjugate Gradient Methods Memoryless BFGS Preconditioned
Conjugate gradient methods are widely acknowledged to be among the most efficient and robust methods for solving the large-scale unconstrained...
-
A modified Dai–Liao conjugate gradient method for solving unconstrained optimization and image restoration problems
In this paper, a new conjugacy condition is established to solve unconstrained optimization problems based on a new quasi-Newton equation. We present...
-
Riemannian conjugate gradient methods with inverse retraction
We propose a new class of Riemannian conjugate gradient (CG) methods, in which inverse retraction is used instead of vector transport for search...
-
Hybrid and Parameterized Conjugate Gradient Methods
Numerical experiments with standard conjugate gradient methods showed that the methods FR, DY, and CD have modest numerical performances, being...
-
Delayed Weighted Gradient Method with simultaneous step-sizes for strongly convex optimization
The Delayed Weighted Gradient Method (DWGM) is a two-step gradient algorithm that is efficient for the minimization of large scale strictly convex...
-
Proximal Gradient/Semismooth Newton Methods for Projection onto a Polyhedron via the Duality-Gap-Active-Set Strategy
The polyhedral projection problem arises in various applications. To efficiently solve the dual problem, one of the crucial issues is to safely...
-
Enhanced Dai–Liao conjugate gradient methods for systems of monotone nonlinear equations
In this paper, we propose two conjugate gradient methods for solving large-scale monotone nonlinear equations. The methods are developed by combining...
-
Iterative Methods for Sparse Symmetric Multilinear Systems
In this research, we extend three attractive iterative methods—conjugate gradient, conjugate residual, and minimal residual—to solve large sparse...
-
Conjugate Plateau Constructions in Product Spaces
This survey paper investigates, from a purely geometric point of view, Daniel’s isometric conjugation between minimal and constant mean curvature...