Add to ORKGIn this article we consider the problem of finding the solution of a system of differential inequalities. We reduce the original problem to the unconstrained minimization of a functional. We find the Gateaux gradient for this functional, and then obtain nucessary and sufficient conditions for the existence of a minimum. Based on these conditions we apply the steepest descent method, and present a numerical implementation of the method
AbstractThe method of steepest descent, also known as the saddle-point method, is a natural developm...
The algorithm of application of the method of steepest descent to the solution of problems of struct...
The method of steepest descent is used to minimize typical functionals from elasticity
The steepest descent method has a rich history and is one of the simplest and best known methods for...
The method of steepest descent is applied to a nonlinearly constrained optimization problem which ar...
AbstractA class of recently developed differential descent methods for function minimization is pres...
Variational inequality problem can be formulated as a differentiable optimization problem [3]. We pr...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/1...
We develop a numerical method for solving singular differential equations and demonstrate the method...
Abstract. The paper gives a common theoretical treatment for gradient and Newton type methods for ge...
The classical variational inequality problem with a Lipschitzian and strongly monotone operator on a...
The article is dedicated of memory of Professor V. F. Demyanov (1938—2014). The main scientific int...
ABSTRACT: We review the history of the nonlinear steepest descent method for the asymptotic evaluati...
This paper gives a common theoretical treatment for gradient and Newton type methods for general cl...
A steepest descent method is constructed for the general setting of a linear differential equation p...
AbstractThe method of steepest descent, also known as the saddle-point method, is a natural developm...
The algorithm of application of the method of steepest descent to the solution of problems of struct...
The method of steepest descent is used to minimize typical functionals from elasticity
The steepest descent method has a rich history and is one of the simplest and best known methods for...
The method of steepest descent is applied to a nonlinearly constrained optimization problem which ar...
AbstractA class of recently developed differential descent methods for function minimization is pres...
Variational inequality problem can be formulated as a differentiable optimization problem [3]. We pr...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/1...
We develop a numerical method for solving singular differential equations and demonstrate the method...
Abstract. The paper gives a common theoretical treatment for gradient and Newton type methods for ge...
The classical variational inequality problem with a Lipschitzian and strongly monotone operator on a...
The article is dedicated of memory of Professor V. F. Demyanov (1938—2014). The main scientific int...
ABSTRACT: We review the history of the nonlinear steepest descent method for the asymptotic evaluati...
This paper gives a common theoretical treatment for gradient and Newton type methods for general cl...
A steepest descent method is constructed for the general setting of a linear differential equation p...
AbstractThe method of steepest descent, also known as the saddle-point method, is a natural developm...
The algorithm of application of the method of steepest descent to the solution of problems of struct...
The method of steepest descent is used to minimize typical functionals from elasticity