On a continuous method for minimizing of nonsmooth functions

L.N. Polyakova; V.V. Karelin

doi:10.1109/SCP.2015.7342133

On a continuous method for minimizing of nonsmooth functions

L.N. Polyakova, V.V. Karelin

Department of Mathematical Modelling of Control Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research

4 Scopus citations

Abstract

A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.

Original language	English
Title of host publication	International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	338-341
ISBN (Print)	9781467376983
DOIs	https://doi.org/10.1109/SCP.2015.7342133 https://doi.org/10.1109/SCP.2015.7342133
State	Published - 2015
Event	International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015 - Петергоф, St. Petersburg, Russian Federation Duration: 5 Oct 2015 → 9 Oct 2015 http://www.apmath.spbu.ru/scp2015/openconf.php

Conference

Conference	International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015
Abbreviated title	SCP 2015
Country	Russian Federation
City	St. Petersburg
Period	5/10/15 → 9/10/15
Internet address	http://www.apmath.spbu.ru/scp2015/openconf.php

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title = "On a continuous method for minimizing of nonsmooth functions",

abstract = "A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.",

author = "L.N. Polyakova and V.V. Karelin",

year = "2015",

doi = "10.1109/SCP.2015.7342133",

language = "English",

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address = "United States",

note = "International Conference on {"}Stability and Control Processes{"} in Memory of V.I. Zubov, SCP 2015 ; Conference date: 05-10-2015 Through 09-10-2015",

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Polyakova, LN & Karelin, VV 2015, On a continuous method for minimizing of nonsmooth functions. in International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015. Institute of Electrical and Electronics Engineers Inc., pp. 338-341, International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015, St. Petersburg, Russian Federation, 5/10/15. https://doi.org/10.1109/SCP.2015.7342133, https://doi.org/10.1109/SCP.2015.7342133

TY - GEN

T1 - On a continuous method for minimizing of nonsmooth functions

AU - Polyakova, L.N.

AU - Karelin, V.V.

PY - 2015

Y1 - 2015

N2 - A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.

AB - A method for minimizing of functions from one class of nonsmooth functions (namely, continuously hypodifferentiable functions) is considered. In it a direction of descent is found by projecting the zero element on a continuous hypodifferential. Step multipliers are calculated either from the Armijo condition or from a one-dimensional optimization. Theorems of convergence are proved.

U2 - 10.1109/SCP.2015.7342133

DO - 10.1109/SCP.2015.7342133

M3 - Conference contribution

SN - 9781467376983

SP - 338

EP - 341

BT - International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015

Y2 - 5 October 2015 through 9 October 2015

ER -