Work

The Weyr Characteristic of the Inverse, the Adjoint and the Orthogonal of a Linear Relation

Year: 2026

Type: article

Abstract: The well-known Weyr characteristic for matrices, which counts the amount of linearly independent Jordan chains of a certain length, generalizes to linear relations in finite dimensional spaces. The Weyr characteristic of a linear relation consists of three finite sequences counting different types of linearly independent chains. Given a linear relation, the Weyr characteristics of its inverse, its adjoint, and its orthogonal complement are computed.

Source: Complex Analysis and Operator Theory

DOI: 10.1007/s11785-026-01937-1

Authors: Francisco Martínez Pería, Carsten Trunk

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de La Plata, Technische Universität Ilmenau

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Technische Universität Ilmenau