𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Real congruences of complex subspaces of 2 × 2 symmetric complex matrices

✍ Scribed by William C. Waterhouse

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
71 KB
Volume
414
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Common solution to the Lyapunov equation
Common solution to the Lyapunov equation for 2 × 2 complex matrices
✍ Thomas J. Laffey; Helena Šmigoc 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 182 KB

In this work we solve the problem of a common solution to the Lyapunov equation for 2 × 2 complex matrices. We show that necessary and sufficient conditions for the existence of a common solution to the Lyapunov equation for 2 × 2 complex matrices A and B is that matrices (A + iαI )(B + iβI ) and (A

The Resolution of the Ideal of 2 ×&
The Resolution of the Ideal of 2 × 2 Minors of a 2 × nMatrix of Linear Forms
✍ Michael L. Catalano-Johnson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 136 KB

2=n matrix of linear forms of S and let I M denote the ideal generated by the 2 determinants of the 2 = 2 minors of M. We study in this paper the minimal finite Ž . free resolution of SrI M as an S-module. M corresponds to a certain 2-2 dimensional vector space L of m = n matrices, that is, to a mat

The intersection of left (right) spectra
The intersection of left (right) spectra of 2 × 2 upper triangular operator matrices
✍ Yuan Li; Xiu-Hong Sun; Hong-Ke Du 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 141 KB

When A ∈ B(H) and B ∈ B(K) are given, we denote by M C the operator matrix acting on the infinite- . In this paper, for given A and B, the sets C∈B l (K,H) σ l (M C ), C∈Inv(K,H) σ l (M C ) and C∈Inv(K,H) σ l (M C ) are determined, where σ l (T ), B l (K, H) and Inv(K, H) denote, respectively, the