1.

Record Nr.

UNINA9910864192103321

Autore

Ram Bhagwat

Titolo

Unconstrained Optimization and Quantum Calculus / / by Bhagwat Ram, Shashi Kant Mishra, Kin Keung Lai, Predrag Rajković

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024

ISBN

9789819724352

9789819724345

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (150 pages)

Collana

Uncertainty and Operations Research, , 2195-9978

Altri autori (Persone)

MishraShashi Kant

LaiKin Keung

RajkovićPredrag

Disciplina

658.403

Soggetti

Operations research

Operations Research and Decision Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Historical Note on Unconstrained Optimization and Quantum Calculus -- Basics of Unconstrained Optimization and Quantum Calculus -- Quantum-Steepest Descent Method with Quasi-Fejér Convergence -- Quantum- Fletcher-Reeves Conjugate Gradient Method -- Quantum-Polak-Ribière-Polyak -- Conjugate Gradient Method.-Quantum-Dai-Yuan Conjugate Gradient Method -- Quantum-Broyden-Fletcher-Goldfarb-Shanno Method -- Quantum-Limited Memory Broyden-Fletcher-Goldfarb-Shanno Method.

Sommario/riassunto

This book provides a better clue to apply quantum derivative instead of classical derivative in the modified optimization methods, compared with the competing books which employ a number of standard derivative optimization techniques to address large-scale, unconstrained optimization issues. Essential proofs and applications of the various techniques are given in simple manner without sacrificing accuracy. New concepts are illustrated with the help of examples. This book presents the theory and application of given optimization techniques in generalized and comprehensive manner. Methods such as steepest descent, conjugate gradient and BFGS are generalized and comparative analyses will show the efficiency of the techniques.