A survey on the Dai–Liao family of nonlinear conjugate gradient methods
S Babaie-Kafaki - RAIRO-Operations Research, 2023 - rairo-ro.org
At the beginning of this century, which is characterized by huge flows of emerging data, Dai
and Liao proposed a pervasive conjugacy condition that triggered the interest of many …
and Liao proposed a pervasive conjugacy condition that triggered the interest of many …
[图书][B] Constrained optimization and Lagrange multiplier methods
DP Bertsekas - 2014 - books.google.com
Computer Science and Applied Mathematics: Constrained Optimization and Lagrange
Multiplier Methods focuses on the advancements in the applications of the Lagrange …
Multiplier Methods focuses on the advancements in the applications of the Lagrange …
[图书][B] Practical optimization
PE Gill, W Murray, MH Wright - 2019 - SIAM
A generic optimization problem in any domain—science, engineering, medicine, or business—
involves finding the optimal value of an objective function that depends on a set of variables …
involves finding the optimal value of an objective function that depends on a set of variables …
[图书][B] Nonlinear conjugate gradient methods for unconstrained optimization
N Andrei - 2020 - Springer
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 …
conjugacy was introduced by Magnus Hestenes and Garrett Birkhoff in 1936 in the context of …
[图书][B] Optimization theory and methods: nonlinear programming
W Sun, YX Yuan - 2006 - books.google.com
Optimization Theory and Methods can be used as a textbook for an optimization course for
graduates and senior undergraduates. It is the result of the author's teaching and research …
graduates and senior undergraduates. It is the result of the author's teaching and research …
Broyden's quasi-Newton methods for a nonlinear system of equations and unconstrained optimization: a review and open problems
M Al-Baali, E Spedicato, F Maggioni - Optimization Methods and …, 2014 - Taylor & Francis
Quasi-Newton methods were introduced by Charles Broyden [A class of methods for solving
nonlinear simultaneous equations, Math Comp. 19 (1965), pp. 577–593] as an alternative to …
nonlinear simultaneous equations, Math Comp. 19 (1965), pp. 577–593] as an alternative to …
Macromodel—an integrated software system for modeling organic and bioorganic molecules using molecular mechanics
F Mohamadi, NGJ Richards, WC Guida… - Journal of …, 1990 - Wiley Online Library
An integrated molecular modeling system for designing and studying organic and
bioorganic molecules and their molecular complexes using molecular mechanics is …
bioorganic molecules and their molecular complexes using molecular mechanics is …
Some numerical experiments with variable-storage quasi-Newton algorithms
JC Gilbert, C Lemaréchal - Mathematical programming, 1989 - Springer
This paper describes some numerical experiments with variable-storage quasi-Newton
methods for the optimization of some large-scale models (coming from fluid mechanics and …
methods for the optimization of some large-scale models (coming from fluid mechanics and …
Conjugate gradient methods with inexact searches
DF Shanno - Mathematics of operations research, 1978 - pubsonline.informs.org
Conjugate gradient methods are iterative methods for finding the minimizer of a scalar
function f (x) of a vector variable x which do not update an approximation to the inverse …
function f (x) of a vector variable x which do not update an approximation to the inverse …
A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search
YH Dai, CX Kou - SIAM Journal on Optimization, 2013 - SIAM
In this paper, we seek the conjugate gradient direction closest to the direction of the scaled
memoryless BFGS method and propose a family of conjugate gradient methods for …
memoryless BFGS method and propose a family of conjugate gradient methods for …