P. Choudhury

activity

20182026

most citedSign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval hull

7 citations · 17 across the 21 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.RA2020

Interval hulls of $N$ -matrices and almost $P$ -matrices

Projesh Nath Choudhury, M. Rajesh Kannan

We establish a characterization of almost $P$ -matrices via a sign non-reversal property. In this we are inspired by the analogous results for $N$ -matrices. Next, the interval hull…

math.RA2020★ 7 cited

Sign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval hull

Projesh Nath Choudhury, M. Rajesh Kannan, Apoorva Khare

A matrix $A$ is totally positive (or non-negative) of order $k$ , denoted $T P_{k}$ (or $T N_{k}$ ), if all minors of size $\leq k$ are positive (or non-negative). It is well-known that su…

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.RA2020

How to Detect and Construct N-matrices

Projesh Nath Choudhury, Michael J. Tsatsomeros

N-matrices are real $n \times n$ matrices all of whose principal minors are negative. We provide (i) an $O (2^{n})$ test to detect whether or not a given matrix is an N-matrix, and (ii…

Interval hulls of N-matrices and almost P-matrices

Sign non-reversal property for totally non-negative and totally positive matrices, and testing total positivity of their interval hull

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

How to Detect and Construct N-matrices

Interval hulls of $N$ -matrices and almost $P$ -matrices