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A PRIMAL-DUAL INTERIOR-POINT ALGORITHM BASED ON A NEW KERNEL FUNCTION

Published online by Cambridge University Press:  03 February 2011

G. M. CHO*
Affiliation:
Department of Multimedia Engineering, Dongseo University, Busan 617-716, South Korea (email: [email protected])
Y. Y. CHO
Affiliation:
Department of Mathematics, Pusan National University, Busan 609-735, South Korea (email: [email protected])
Y. H. LEE
Affiliation:
Department of Mathematics, Pusan National University, Busan 609-735, South Korea (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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We propose a new primal-dual interior-point algorithm based on a new kernel function for linear optimization problems. New search directions and proximity functions are proposed based on the kernel function. We show that the new algorithm has and iteration bounds for large-update and small-update methods, respectively, which are currently the best known bounds for such methods.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2011

References

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