✦ LIBER ✦

Circuit and Unimodular Matrices

✍ Scribed by Brown, David P.

Book ID: 118191836
Publisher: Society for Industrial and Applied Mathematics
Year: 1976
Tongue: English
Weight: 625 KB
Volume: 31
Category: Article
ISSN: 0036-1399
DOI: 10.1137/0131040

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📜 SIMILAR VOLUMES

Compound and unimodular matrices

✍ David P. Brown 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 560 KB

if P is any square unimodular matrax of order n. it is proven that the n .-f coqwund of ,fJ, pw U, is unimodular. If P is rectangular of order n x +I. unimodular matrices c~f t)rder k + I lln PC" are chatact&ted. A sign rule for P"', n 5 I:I, Is estabiished. fat certain pairs of rows in P"". ahe pro

Unimodular Matrices and Parsons Numbers

✍ Aiden Bruen; David Wehlau; Zhang Zhaoji 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 185 KB

Let [A 1 , ..., A m ] be a set of m matrices of size n\_n over the field F such that A i # SL(n, F) for 1 i m and such that A i &A j # SL(n, F) for 1 i< j m. The largest integer m for which such a set exists is called the Parsons number for n and F, denoted m(n, F). We will call such a set of m(n, F

Conference Matrices and Unimodular Latti

Conference Matrices and Unimodular Lattices

✍ Robin Chapman 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 147 KB

Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of these lattices by nonprincipal ideals yields simple constructions of further lattices including the Leech lattice.

On totally unimodular matrices

✍ A. Tamir 📂 Article 📅 1976 🏛 John Wiley and Sons 🌐 English ⚖ 431 KB

## Abstract Conditions for a matrix to be totally unimodular, due to Camion, are applied to extend and simplify proofs of other characterizations of total unimodularity.

Total Unimodularity of Matrices

✍ Chandrasekaran, R. 📂 Article 📅 1969 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 243 KB

Total Unimodularity of Matrices

✍ R. Chandrasekaran 📂 Article 📅 1969 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 258 KB