This book is on conjugate gradient methods for unconstrained optimization. The concept of
conjugacy was introduced by Magnus Hestenes and Garrett Birkhoff in 1936 in the context of …

In order to improve the fabrication efficiency and performance of an ultrasonic transducer
(UT), a particle swarm optimization (PSO) algorithm-based design method was established …

Nonlinear conjugate gradient methods are often used to solve large-scale unconstrained
optimization problems owing to their lower memory requirement and less computation cost …

For a corporation in global supply chain, transfer prices, retail prices and order quantities are
often the fundamental decision variables to obtain the maximal after-tax profit. Taking into …

In this paper, a new spectral residual method is proposed to solve systems of large-scale
nonlinear equations, where the steplength is obtained by minimizing the residue of an …

Monotonicity and nonmonotonicity play a key role in studying the global convergence and
the efficiency of iterative schemes employed in the field of nonlinear optimization, where …

In this paper, an extended nonmonotone line search is proposed to improve the efficiency of
the existing line searches. This line search is first proved to be an extension of the classical …

Due to the low efficiency of traditional design method, an efficient optimization design
method is developed to design and fabricate high-performance ultrasonic transmitting …

In this paper, a three-dimensional subspace method is proposed, in which the search
direction is generated by minimizing the approximation model of the objective function in a …

In this paper, a new five-step discrete-time zeroing dynamics (DTZD) algorithm, discretized
from a continuous-time zeroing dynamics (CTZD) model, is proposed and investigated for …