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A high-order affine scaling interior-point algorithm for solving P_*(κ)-matrix linear complementarity problems

Mingwang Zhang

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Abstract

This paper provides a high-order interior-point algorithm for solving P*(κ)-matrix linear comple-mentary problems.On the basis of the idea of primal-dual affine scaling method for linear programming,the search direction of our algorithm is obtained by a linear system of equation at each iteration.And an appropriate step size is giver approximately,such that the algorithm has polynomial time complexity.

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What this paper is about

This paper provides a high-order interior-point algorithm for solving P*(κ)-matrix linear comple-mentary problems.On the basis of the idea of primal-dual affine scaling method for linear programming,the search direction of our algorithm is obtained by a linear system of equation at each iteration.And an appropriate step size is giver approximately,such that the algorithm has polynomial time complexity.

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Available abstract

This paper provides a high-order interior-point algorithm for solving P*(κ)-matrix linear comple-mentary problems.On the basis of the idea of primal-dual affine scaling method for linear programming,the search direction of our algorithm is obtained by a linear system of equation at each iteration.And an appropriate step size is giver approximately,such that the algorithm has polynomial time complexity.

Key concepts: Interior point method, Mathematics, Linear complementarity problem, Scaling, Linear programming, Affine transformation, Algorithm, Matrix (chemical analysis)

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