Abstract: Conjugate gradient techniques are widely used to solve unconstrained optimization issues. The accelerated conjugate gradient approach provides superior numerical effects for the ...

The nonlinear conjugate gradient method is a very useful technique for solving large scale minimization problems and has wide applications in many fields. In this paper, we present a new algorithm of ...

Abstract: In this paper, a derivative-free conjugate gradient method for solving nonlinear equations with convex constraints is proposed. The proposed method can be viewed as an extension of the three ...

In conjugate gradient method, it is well known that the recursively computed residual differs from true one as the iteration proceeds in finite arithmetic. Some work have been devoted to analyze this ...

1 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, Indonesia 2 School of Quantitative Sciences, Institute of Strategic Industrial Decision ...

In this paper, a three-order Taylor-type numerical differentiation formula is firstly utilized to linearize and discretize constrained conditions of model predictive control (MPC), which can be ...

ABSTRACT: In this paper, a new conjugate gradient formula and its algorithm for solving unconstrained optimization problems are proposed. The given formula satisfies with satisfying the descent ...

We’ve created 2 libraries my_library.hpp (which contains main implementation) and my_testing_library.hpp (which contains methods for testing) We’ve created 3 driver programs - solver.cpp (solves the ...

make clean removes the compiled executable cg. make cg compiles the code with no funny business. make CFLAGS=-DVERIFY cg and max error is printed when cg runs. make ...