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A real number is positive or negative or zero. For symmetric matrices, a similar distinction is possible using the definiteness. Definiteness will play a crucial role in assessing the extreme points of a function of several variables. The definiteness of a symmetric matrix can be assessed using its (real) eigenvalues.

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Definiteness and Matrix Norms

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  • 发表日期：

    2026年

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  • Christian Karpfinger

摘要

A real number is positive or negative or zero. For symmetric matrices, a similar distinction is possible using the definiteness. Definiteness will play a crucial role in assessing the extreme points of a function of several variables. The definiteness of a symmetric matrix can be assessed using its (real) eigenvalues.