✦ LIBER ✦

Products of three triangular matrices

✍ Scribed by K.R. Nagarajan; M. Paul Devasahayam; T. Soundararajan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 100 KB
Volume: 292
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00003-8

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that any square matrix over a ®eld is the product of at most three triangular matrices. We also give explicit LUL factorizations for all 2 Â 2 and 3 Â 3 matrices over ®elds.

📜 SIMILAR VOLUMES

Limiting behavior of products of random

Limiting behavior of products of random triangular matrices

✍ A. Grincevičius 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 705 KB

Which triangular numbers are products of

Which triangular numbers are products of three consecutive integers?

✍ S. P. Mohanty 📂 Article 📅 1991 🏛 Akadmiai Kiad 🌐 English ⚖ 230 KB

ImplicitQRfactorization of a product of

ImplicitQRfactorization of a product of three matrices

✍ Hongyuan Zha 📂 Article 📅 1991 🏛 Springer Netherlands 🌐 English ⚖ 235 KB

Customizable triangular factorizations o

Customizable triangular factorizations of matrices

✍ Pengwei Hao 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 229 KB

Customizable triangular factorizations of matrices find their applications in computer graphics and lossless transform coding. In this paper, we prove that any N × N nonsingular matrix A can be factorized into 3 triangular matrices, A = PLUS, where P is a permutation matrix, L is a unit lower triang

Triangular factors of modified matrices

✍ John M. Bennett 📂 Article 📅 1965 🏛 Springer-Verlag 🌐 English ⚖ 216 KB

Superoptimal completions of triangular m

Superoptimal completions of triangular matrices

✍ Hugo J. Woerdeman 📂 Article 📅 1994 🏛 SP Birkhäuser Verlag Basel 🌐 English ⚖ 371 KB