✦ LIBER ✦

Geometric matrix algebra

✍ Scribed by Garret Sobczyk

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 140 KB
Volume: 429
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.06.015

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Grassmann, geometric algebra and cosmolo

Grassmann, geometric algebra and cosmology

✍ A.N. Lasenby 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 390 KB

Star products and geometric algebra

✍ Peter Henselder; Allen C. Hirshfeld; Thomas Spernat 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 284 KB

Bijective matrix algebra

✍ Nicholas A. Loehr; Anthony Mendes 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 277 KB

If A and B are square matrices such that AB = I , then BA = I automatically follows. We prove a combinatorial version of this result in the case where the entries of A and B count collections of signed, weighted objects. Specifically, we give an algorithm that transforms any given bijective proof of

On the equality of algebraic and geometr

On the equality of algebraic and geometric multiplicities of matrix eigenvalues

✍ J. Ding; Noah H. Rhee 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 213 KB

We summarize seventeen equivalent conditions for the equality of algebraic and geometric multiplicities of an eigenvalue for a complex square matrix. As applications, we give new proofs of some important results related to mean ergodic and positive matrices.

Algebra of Matrix Arithmetic

✍ Gautami Bhowmik; Olivier Ramaré 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 207 KB

We study the algebra of the arithmetic of integer matrices. A link is established between the divisor classes of matrices and lattices. The algebra of arithmetical functions of integral matrices is then shown to be isomorphic to an extension of the Hecke algebra, also called a Hall algebra in combin

Geometrically Reductive Hopf Algebras

✍ Heloisa Borsari; Walter Ferrer Santos 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 757 KB