On a continuous method for minimizing of nonsmooth functions

Research output

4 Citations (Scopus)

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 languageEnglish
Title of host publicationInternational Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages338-341
ISBN (Print)9781467376983
DOIs
Publication statusPublished - 2015

Fingerprint

Nonsmooth Function
Additive identity
Descent
Multiplier
Optimization
Theorem
Class

Cite this

Polyakova, L. N., & Karelin, V. V. (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 (pp. 338-341). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCP.2015.7342133, https://doi.org/10.1109/SCP.2015.7342133
Polyakova, L.N. ; Karelin, V.V. / On a continuous method for minimizing of nonsmooth functions. International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 338-341
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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. https://doi.org/10.1109/SCP.2015.7342133, https://doi.org/10.1109/SCP.2015.7342133

On a continuous method for minimizing of nonsmooth functions. / Polyakova, L.N.; Karelin, V.V.

International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 338-341.

Research output

TY - GEN

T1 - On a continuous method for minimizing of nonsmooth functions

AU - Polyakova, L.N.

AU - Karelin, V.V.

PY - 2015

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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.

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DO - 10.1109/SCP.2015.7342133

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

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Polyakova LN, Karelin VV. 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. 2015. p. 338-341 https://doi.org/10.1109/SCP.2015.7342133, https://doi.org/10.1109/SCP.2015.7342133