Complexity Analysis of Primal-Dual Interior-Point Methods for Linear Optimization Based on a New Parametric Kernel Function with a Trigonometric Barrier Term

Joint Authors

Wang, Guoqiang
Cai, X. Z.
El Ghami, M.
Yue, Y. J.

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-15

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We introduce a new parametric kernel function, which is a combination of the classic kernelfunction and a trigonometric barrier term, and present various properties of this new kernel function.

Aclass of large- and small-update primal-dual interior-point methods for linear optimization based on thisparametric kernel function is proposed.

By utilizing the feature of the parametric kernel function, we derivethe iteration bounds for large-update methods, O ( n 2 / 3 log ( n / ε ) ) , and small-update methods, O ( n log ( n / ε ) ) .

These results match the currently best known iteration bounds for large- and small-update methods based on the trigonometric kernel functions.

American Psychological Association (APA)

Cai, X. Z.& Wang, Guoqiang& El Ghami, M.& Yue, Y. J.. 2014. Complexity Analysis of Primal-Dual Interior-Point Methods for Linear Optimization Based on a New Parametric Kernel Function with a Trigonometric Barrier Term. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033953

Modern Language Association (MLA)

Cai, X. Z.…[et al.]. Complexity Analysis of Primal-Dual Interior-Point Methods for Linear Optimization Based on a New Parametric Kernel Function with a Trigonometric Barrier Term. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033953

American Medical Association (AMA)

Cai, X. Z.& Wang, Guoqiang& El Ghami, M.& Yue, Y. J.. Complexity Analysis of Primal-Dual Interior-Point Methods for Linear Optimization Based on a New Parametric Kernel Function with a Trigonometric Barrier Term. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033953

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033953