Mathematics and probability · MLD-0911

Positive semidefinite matrix

A symmetric matrix whose quadratic form is nonnegative for every vector.

Original reference page · detailed expansion pending. Original definitions, examples, notes and citations are preserved below. New examples are illustrative, not benchmark results.

Original example

A covariance matrix is positive semidefinite.

Original caveat

Positive semidefinite does not require invertibility.

Context and aliases

Level: Foundational. Stages: Theory · Training · Evaluation.

Tags: ML · DL · SLM · LLM.

Aliases: PSD matrix.

Related concepts

Original references

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