Full sign-invertibility and symplectic matrices
β Scribed by David A. Schmidt; Chjan C. Lim
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 600 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Hille-Tamarkin matrices are investigated. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, new estimates for the spectral radius are derived.
We settle a question of Bressoud concerning the existence of an explicit bijection from a class of oriented square-ice graphs to a class of tournaments by giving an algorithmic construction of such a bijection.
Let M be an n by n matrix. By a connected minor of M of size k we mean a minor formed from k consecutive rows and k consecutive columns. We give formulas for det M in terms of connected minors, one involving minors of two consecutive sizes and one involving minors of three consecutive sizes. The for