Algorithm

Conjugate

Applied mathematics

Computer security

Nonlinear conjugate gradient method

Convergence (economics)

Gradient descent

RADIUS

Economics

Computer science

Mathematical optimization

Line search

Mathematics

Mathematical analysis

Artificial intelligence

Conjugate residual method

Economic growth

Artificial neural network

Conjugate gradient method

Conjugate gradient (CG) methods have played an important role in solving unconstrained optimization due to its simplicity and global convergence properties. In this paper, two new modifications of conjugate gradient coefficient (β <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</sub> ) with global convergence properties are presented. The global convergence result is established using exact line searches. Comparisons are made between six others well known CG coefficient. Preliminary result by performance profile shows that the proposed formula is competitive when compared to the other CG coefficients.

New modifications of conjugate gradient coefficient with global convergence properties