On connectedness of sets in the real spectra of polynomial rings
โ Scribed by F. Lucas; J. J. Madden; D. Schaub; M. Spivakovsky
- Book ID
- 105923765
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 520 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An investigation on nonconnectedness of numerical range for manic matrix polynomials L( ) is undertaking here. The distribution of eigenvalues of L(1) to the components of numerical range and some other algebraic properties are also presented.
We investigate conditions on a square matrix M for which every LCP(M, y 1 (with q arbitrary) has a connected solution set. We show that a matrix with this property is necessarily fully semimonotone. Using degree theory, we show that the solution set of LCP(M, q) corresponding to a P,-matrix is conn