Boundary Matrices and the Marcus-de Oliveira Determinantal Conjecture

Authors: Ameet Sharma

We present notes on the Marcus-de Oliveira conjecture. The conjecture concerns the region in the complex plane covered by the determinants of the sums of two normal matrices with prescribed eigenvalues. Call this region ∆. This paper focuses on boundary matrices of ∆. We prove 2 theorems regarding these boundary matrices.

Comments: 12 Pages.

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Submission history

[v1] 2018-05-20 05:12:52
[v2] 2018-05-24 17:28:18
[v3] 2018-06-01 17:03:00
[v4] 2018-06-02 05:19:02
[v5] 2018-06-06 15:20:33
[v6] 2018-06-12 05:12:19
[v7] 2018-10-04 19:34:38
[v8] 2019-02-09 08:45:32
[v9] 2019-02-16 01:58:22
[vA] 2019-03-19 21:37:25
[vB] 2019-04-21 19:48:35
[vC] 2019-04-22 09:15:16
[vD] 2019-05-09 11:22:56
[vE] 2019-05-12 04:34:52
[vF] 2019-05-28 13:35:31
[vG] 2019-06-18 21:25:05

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