Matrices with Hyperbolical Krein Space Numerical Range

2024/07/03 by Natália Bebiano, Bebiano, N., R. Lemos +3 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2407.03164

openalex publication_date 2024/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to matrices with hyperbolical Krein space numerical range. This shape characterizes the 2-by-2 case and persists for certain classes of matrices, independently of their size. Ne\-cessary and sufficient conditions for low dimensional tridiagonal matrices to have this shape are obtained only involving the matrix entries

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• Krein Space Numerical Range of Block Matrices -- a Unified Approach to the Hyperbolic Case

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