๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

LDU decomposition of an extension matrix of the Pascal matrix

โœ Scribed by Ik-Pyo Kim

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
204 KB
Volume
434
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

An extension of the generalized pascal m
An extension of the generalized pascal matrix and its algebraic properties
โœ Zhizheng Zhang; Maixue Liu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

The extended generalized Pascal matrix can be represented in two different ways: as a lower triangular matrix d~n [x, y] or as a symmetric ~.[x, y]. These matrices generalize Pn[X], Qn[X], and Rn[X], which are defined by Zhang and by Call and Velleman. A product formula for dp.[ x, y] has been found

The linear algebra of the generalized Pa
The linear algebra of the generalized Pascal functional matrix
โœ M. Bayat; H. Teimoori ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

In this paper we generalize Pascal's matrix by deยฎning the polynomials ``Factorial Binomial''. Then using this generalization, we introduce a two-variable Pascal's matrix and state its related theorems and prove them. Finally we introduce Pascal's functional matrix associated with a sequence a f n g

Solution of fuzzy matrix games: An appli
Solution of fuzzy matrix games: An application of the extension principle
โœ Shiang-Tai Liu; Chiang Kao ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 128 KB

Conventional game theory is concerned with how rational individuals make decisions when they are faced with known payoffs. This article develops a solution method for the two-person zero-sum game where the payoffs are only approximately known and can be represented by fuzzy numbers. Because the payo