Just as in its 1st edition, this book starts with illustrations of the ubiquitous character of
optimization, and describes numerical algorithms in a tutorial way. It covers fundamental …

We study nonlinear optimization problems with a stochastic objective and deterministic
equality and inequality constraints, which emerge in numerous applications including …

This paper considers a special class of convex programming (CP) problems whose feasible
regions consist of a simple compact convex set intersected with an affine manifold. We …

Lagrange and penalty function methods provide a powerful approach, both as a theoretical
tool and a computational vehicle, for the study of constrained optimization problems …

In this paper, we propose new linesearch-based methods for nonsmooth constrained
optimization problems when first-order information on the problem functions is not available …

Optimization with nonnegative orthogonality constraints has wide applications in machine
learning and data sciences. It is NP-hard due to some combinatorial properties of the …

Optical coherence tomography (OCT) is an imaging tool that has been widely utilized for
various disease diagnoses for its noninvasive and high-resolution properties. Due to the …

The dislocation hyperbolic augmented Lagrangian algorithm (DHALA) solves the
nonconvex programming problem considering an update rule for its penalty parameter and …

This paper investigates the force sensitivity of 6-DOF cable-driven parallel robots (CDPRs)
in order to propose a better force measurement device. Kinematics and dynamics for a …

For nonlinear programming problems, we propose a new class of smooth exact penalty
functions, which includes both barrier-type and exterior-type penalty functions as special …