REAL

Invariant theoretic characterization of subdiscriminants of matrices

Domokos, Mátyás (2014) Invariant theoretic characterization of subdiscriminants of matrices. LINEAR AND MULTILINEAR ALGEBRA, 62 (1). pp. 63-73. ISSN 0308-1087

[img]
Preview
Text
1206.2358v1_1_u_153112.72955.pdf

Download (145kB) | Preview

Abstract

An invariant theoretic characterization of subdiscriminants of matrices is given. The structure as a module over the special orthogonal group of the minimal degree non-zero homogeneous component of the vanishing ideal of the variety of real symmetric matrices with a bounded number of different eigenvalues is investigated. These results are applied to the study of sum of squares presentations of subdiscriminants of real symmetric matrices.

Item Type: Article
Uncontrolled Keywords: SUBSPACE ARRANGEMENTS; orthogonal group; Sum of squares; ideal of subspace arrangement; subdiscriminant
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 18 Feb 2015 14:57
Last Modified: 18 Feb 2015 14:57
URI: http://real.mtak.hu/id/eprint/21928

Actions (login required)

Edit Item Edit Item