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<p>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.</p>

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

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  • 发表日期：

    2026年3月27日

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  • Francisco Martínez Pería,
  • Carsten Trunk

摘要

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.