---
title: "Positive semidefinite mathematical notation"
description: "Positive semidefinite is a recurring research-paper notation family. States that a symmetric matrix produces a nonnegative quadratic form for every vector."
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/positive-semidefinite"
md_url: "https://fanout.sh/labs/math-decoder/symbol/positive-semidefinite.md"
last_updated: "2026-08-09"
access: "public"
---

# Positive semidefinite mathematical notation

Positive semidefinite is a recurring research-paper notation family. States that a symmetric matrix produces a nonnegative quadratic form for every vector.

## Public overview

Positive semidefinite: States that a symmetric matrix produces a nonnegative quadratic form for every vector. Example: Every vector gives a nonnegative value when placed around A.

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