𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some orthogonal matrices and related orthogonal functions systems

✍ Scribed by Edgar Asplund; Harold S. Shapiro

Book ID
112788997
Publisher
Springer Netherlands
Year
1966
Tongue
English
Weight
323 KB
Volume
6
Category
Article
ISSN
0004-2080

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Orthogonal Rational Functions and Struct
Orthogonal Rational Functions and Structured Matrices
✍ Van Barel, Marc; Fasino, Dario; Gemignani, Luca; Mastronardi, Nicola πŸ“‚ Article πŸ“… 2005 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 231 KB
Combinatorially orthogonal matrices and
Combinatorially orthogonal matrices and related graphs
✍ Peter M. Gibson; Guo-Hui Zhang πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 814 KB

Let G be a graph and let c(x,y) denote the number of vertices in G adjacent to both of the vertices x and y. We call G quadrangular if c(x,y) ~ 1 whenever x and y are distinct vertices in G. Reid and Thomassen proved that IE(G)I >t 21V(G)I -4 for each connected quadrangular graph (7, and characteriz

Some MΓΌntz orthogonal systems
Some MΓΌntz orthogonal systems
✍ Gradimir V. MilovanoviΔ‡; Bratislav DankoviΔ‡; SneΕΎana Lj. RančiΔ‡ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 463 KB
Orthogonality of matrices and some dista
Orthogonality of matrices and some distance problems
✍ Rajendra Bhatia; Peter Ε emrl πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 348 KB

If A and B are matrices such that IIA + zBII ~ IIA II for all complex numbers z, then A is said to be orthogonal to B. We find necessary and sufficient conditions for this to be the case. Some applications and generalisations are also discussed.