𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-symbolic algorithms for the inversion of tridiagonal matrices

✍ Scribed by Abderramán Marrero, J.; Rachidi, M.; Tomeo, V.

Book ID
120649022
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
491 KB
Volume
252
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The inverse positivity of perturbed trid
The inverse positivity of perturbed tridiagonal M-matrices
✍ Jie Huang; Ting-Zhu Huang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 181 KB

A well-known property of an M-matrix M is that the inverse is element-wise non-negative, which we write as M -1 0. In this paper, we consider element-wise perturbations of non-symmetric tridiagonal M-matrices and obtain sufficient bounds on the perturbations so that the non-negative inverse persists

An algorithm for the numerical inversion
An algorithm for the numerical inversion of a tridiagonal matrix
✍ Kumar, Surendra ;Shashi, ;Pethö, Árpad 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 280 KB 👁 2 views

This paper presents an algorithm for obtaining the inverse of a tridiagonal matrix numerically. The algorithm does not require diagonal dominance in the matrix and is also computationally efficient.