OMC for Householder reflections
β Scribed by S.W. Drury
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 92 KB
- Volume
- 298
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that the celebrated Conjecture of Marcus and de Oliveira is correct in case the unitary matrix is a Householder reflection matrix. It is also shown that the Merikoski-Virtanen Conjecture for Householder reflections fails in dimension 5.
π SIMILAR VOLUMES
We establish the following case of the Determinantal Conjecture of Marcus [M. Marcus, Derivations, PlΓΌcker relations and the numerical range, Indiana Univ. Math. J. 22 (1973) 1137-1149] and de Oliveira [G.N. de Oliveira, Research problem: normal matrices, Linear and Multilinear Algebra 12 (1982) 153
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