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Definite quadratic form

In mathematics, a definite quadratic form is a quadratic form over some real vector space V that has the same sign (always positive or always negative) for every non-zero vector of V. According to that sign, the quadratic form is called positive-definite or negative-definite.

Matrix form, Optimization & Examples

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Overview

Associated symmetric bilinear form

Examples

Matrix form

Optimization

Advanced semantic analysis

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Map overview Semantic statistics

Definite quadratic form

Nodes34
Edges33
Triples4
Avg. degree1.94
Density0.058824
Components1

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Definite quadratic form

Top relations

related to Optimization · 3
Definite quadratic form → Definite, Suppose, The
is a · 1
Definite quadratic form → quadratic form over some real vector space V that has the same sign

Important terminology Word statistics

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Important terminology

form quadratic positive negative displaystyle vector always symmetric positive-definite negative-definite semidefinite space bilinear matrix sign evaluates number indefinite non-zero also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Definite quadratic formis aquadratic form over some real vector space V that has the same sign0.90text
Definite quadratic formrelated to OptimizationDefinite0.60section
Definite quadratic formrelated to OptimizationSuppose0.60section
Definite quadratic formrelated to OptimizationThe0.60section

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    Min side: 3
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