Twice epi-differentiability of extended-real-valued functions with applications in composite optimization

A Mohammadi, ME Sarabi - SIAM Journal on Optimization, 2020 - SIAM
The paper is devoted to the study of the twice epi-differentiablity of extended-real-valued
functions, with an emphasis on functions satisfying a certain composite representation. This …

Augmented Lagrangian method for second-order cone programs under second-order sufficiency

NTV Hang, BS Mordukhovich, ME Sarabi - Journal of Global Optimization, 2022 - Springer
This paper addresses problems of second-order cone programming important in
optimization theory and applications. The main attention is paid to the augmented …

Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization

ME Sarabi - Set-Valued and Variational Analysis, 2022 - Springer
This paper mainly concerns with the primal superlinear convergence of the quasi-Newton
sequential quadratic programming (SQP) method for piecewise linear-quadratic composite …

A ridge estimation-sequence quadratic programming constraint optimization algorithm for data processing in multi-spectral thermometry

Y Zhang, Z Zou, F Yan - Measurement Science and Technology, 2022 - iopscience.iop.org
Multi-spectral thermometry plays an important role in the field of high temperature
measurement. The data processing is the focus of multi-spectral thermometry, which usually …

Parabolic Regularity of Spectral Functions

A Mohammadi, E Sarabi - Mathematics of Operations …, 2024 - pubsonline.informs.org
This paper is devoted to the study of the second-order variational analysis of spectral
functions. It is well-known that spectral functions can be expressed as a composite function …

Second-Order Numerical Variational Analysis

BS Mordukhovich - Second-Order Variational Analysis in Optimization …, 2024 - Springer
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Basic Concepts of Second-Order Analysis

BS Mordukhovich - Second-Order Variational Analysis in Optimization …, 2024 - Springer
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[图书][B] Variational analysis of composite optimization

A Mohammadi - 2020 - search.proquest.com
The dissertation is devoted to the study of the first-and second-order variational analysis of
the composite functions with applications to composite optimization. By considering a fairly …