 ##  [Semidefinite Programming](/semidefinite-programming) 

  ##  [Semidefinite Programming](https://mathlogic.quantumdictionary.io/semidefinite-programming-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A class of convex optimization problems where a linear objective is minimized or maximized subject to affine (linear) constraints and a symmetric matrix variable constrained to be positive semidefinite.