K. Sivakumar

activity

20152026

most citedPseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties

2 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.FA2020

Bounds for a solution set of linear complementarity problems over Hilbert spaces

Projesh Nath Choudhury, M. Rajesh Kannan, K. C. Sivakumar

Let $H$ be a real Hilbert space. In this short note, using some of the properties of bounded linear operators with closed range defined on $H$ , certain bounds for a specific convex…

math.FA2020★ 1 cited

When is $(A + B)^{†} = A^{†} + B^{†}$ ?

K. C. Sivakumar

We address the question as to when it is true that $(A + B)^{†} = A^{†} + B^{†},$ where $†$ denotes the Moore-Penrose inverse. A similar question is addressed for…

math.OC2020

Karamardian Matrices: A Generalization of $Q$ -Matrices

K. C. Sivakumar, P. Sushmitha, Megan Wendler

A real square matrix $A$ is called a $Q$ -matrix if the linear complementarity problem $L C P (A, q)$ has a solution for all $q \in R^{n}$ . This means that for every vector $q$ t…

Bounds for a solution set of linear complementarity problems over Hilbert spaces

When is (A+B)†=A†+B†?

Karamardian Matrices: A Generalization of Q-Matrices

When is $(A + B)^{†} = A^{†} + B^{†}$ ?

Karamardian Matrices: A Generalization of $Q$ -Matrices