A class of linear complementarity problems solvable in polynomial time

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Class of Linear Complementarity Problems Solvable in Polynomial Time

We describe a “condition” number for the linear complementarity problem (LCP), which characterizes the degree of difficulty for its solution when a potential reduction algorithm is used. Consequently, we develop a class of LCPs solvable in polynomial time. The result suggests that the convexity (or positive semidefiniteness) of the LCP may not be the basic issue that separates LCPs solvable and...

متن کامل

A class of polynomially solvable linear complementarity problems

Although the general linear complementarity problem (LCP) is NP-complete, there are special classes that can be solved in polynomial time. One example is the type where the defining matrix is nondegenerate and for which the n-step property holds. In this paper we consider an extension of the property to the degenerate case by introducing the concept of an extended n-step vector and matrix. It i...

متن کامل

A polynomial-time algorithm for a class of linear complementarity problems

is known as a linear complementarity problem. Under the assumption that M is positive semidefinite, this paper presents an algorithm that solves the problem in O(n 3 L) arithmetic operations by tracing the path of centers, {(x, y) E S: x~y~ = I.* (i = 1, 2 , . . . , n) for some/~ > 0} of the feasible region S = {(x, y) >~ 0: y = Mx + q}, where L denotes the size of the input data of the problem.

متن کامل

Two Polynomial Time Solvable Multicommodity Flow Problems

The multicommodity flow problem is NP-hard already for two commodities over bipartite graphs. Nonetheless, using our recent theory of n-fold integer programming and extensions developed herein, we are able to establish the surprising polynomial time solvability of the problem in two broad situations.

متن کامل

MATHEMATICAL ENGINEERING TECHNICAL REPORTS Sign-Solvable Linear Complementarity Problems

This paper presents a connection between qualitative matrix theory and linear complementarity problems (LCPs). An LCP is said to be sign-solvable if the set of the sign patterns of the solutions is uniquely determined by the sign patterns of the given coefficients. We provide a characterization for sign-solvable LCPs such that the coefficient matrix has nonzero diagonals, which can be tested in...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 1991

ISSN: 0024-3795

DOI: 10.1016/0024-3795(91)90264-w