## 47 Citations

On some classes of matrices related to solving linear complementarity problems as linear programs

- Mathematics
- 1994

More on hidden Z-matrices and linear complementarity problem

- Mathematics, Computer ScienceLinear and Multilinear Algebra
- 2019

It is shown that for a non-degenerate feasible basis, linear complementarity problem with hidden Z-matrix has unique non- Degenerate solution under some assumptions.

On Linear Complementarity Problem with Hidden Z-Matrix

- Mathematics
- 2018

In this article we study linear complementarity problem with hidden Z-matrix. We extend the results of Fiedler and Pták for the linear system in complementarity problem using game theoretic approach.…

O C ] 3 0 M ay 2 01 9 More On Hidden Z-Matrices and Linear Complementarity Problem

- Mathematics
- 2019

In this article we study linear complementarity problem with hidden Z-matrix. We extend the results of Fiedler and Pták for the linear system in complementarity problem using game theoretic approach.…

Generating and detecting matrices with positive principal minors

- Mathematics
- 2004

A brief but concise review of methods to generate P-matrices (i.e., matrices having positive principal minors) is provided and motivated by open problems on P-matrices and the desire to develop and…

On Some Properties of $K$- type Block Matrices in the context of Complementarity Problem

- Mathematics, Computer Science
- 2021

The solution of linear complementarity problem with K-type block matrices can be obtained by solving a linear programming problem and it is shown that block triangular K-matrices satisfy least element property.

M-matrix and inverse M-matrix extensions

- Mathematics
- 2020

Abstract A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class…

## References

SHOWING 1-10 OF 34 REFERENCES

A Survey of M-Matrix Characterizations. I. Nonsingular M-Matrices.

- Mathematics
- 1976

Abstract : The purpose of this survey is to classify systematically a widely ranging list of characterizations of nonsingular M-matrices from the economics and mathematics literatures. These…

A linear complementarity problem with an n by 2n “P”-matrix

- Mathematics
- 1978

The problem considered in this paper is given by the conditions: w=q+Mv+Nx, w≧0, v≧0, x≧0, v≦r, w T v=0 and (r−v) T x=0. Here q, r are n-vectors with r>0 and M, N are n by n matrices. We say that an…

A note on an open problem in linear complementarity

- MathematicsMath. Program.
- 1977

This note proves a result which improves on a characterization obtained by Mangasarian of the class ofn × n matricesM such that for everyn-vectorq for which the linear complementarity problem (q, M) is feasible, then the problem has a solution.

Nonnegative matrices whose inverses are M-matrices

- Mathematics
- 1972

A characterization of a class of totally nonnegative matrices whose inverses are M-matrices is given. It is then shown that if A is nonnegative of order n and A-1 is an M-matrix, then the almost…

On a class of least-element complementarity problems

- MathematicsMath. Program.
- 1979

Two least-element characterizations of solutions to the above linear complementarity problem are established and a new and direct method to solve this class of problems, which depends on the idea of “least-element solution” is presented.

Isotone Solutions of the Parametric Complementarity Problems.

- Mathematics, Computer Science
- 1975

This paper studies the behavior of solutions to the parametric complementarity problem as the parameter alpha increases from zero.

Characterization of linear complementarity problems as linear programs

- Mathematics
- 1978

It is shown that the linear complementarity problem of finding an n-by-1 vector x such that Mx+q≧0, x≧0, and x T(Mx+q)=0, where M is a given n-by-n real matrix and q is a given n-by-1 vector, is…