𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new subclass of P-matrices

✍ Scribed by Uwe Schäfer


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
200 KB
Volume
393
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis


A new subclass of P-matrices is stated for which it is easy to calculate bounds for the solution of a linear complementarity problem where the input data of the linear complementarity problem are not exactly known but can be enclosed in intervals. This new class of matrices properly contains all H-matrices with positive diagonal entries and is properly contained in the class of P-matrices.


📜 SIMILAR VOLUMES


On some subclasses of P-matrices
✍ Hou-Biao Li; Ting-Zhu Huang; Hong Li 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB

## Abstract A matrix with positive row sums and all its off‐diagonal elements bounded above by their corresponding row averages is called a __B__‐matrix by J. M. Peña in References (__SIAM J. Matrix Anal. Appl.__ 2001; **22**:1027–1037) and (__Numer. Math.__ 2003; **95**:337–345). In this paper, it

Perron vector ordering for a subclass of
✍ Steve Kirkland 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 988 KB

We consider the class of 11)( i1 tournament matrices having sCO!".' vector [1 1 2 3 ... 11 -4 11 -3 11 -2 II -2]', For each such matrix. we give formulas for the entries in its perron vector in terms of the corresponding pcrron value. This leads to a discussion of the ordering or the entries in the

On a subclass of P0
✍ Sy-Ming Guu; Richard W. Cottle 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 427 KB