 ##  [BFGS Method](/bfgs-method) 

  ##  [BFGS Method](https://mathlogic.quantumdictionary.io/bfgs-method-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 quasi-Newton optimization algorithm that iteratively builds and updates an approximation to the inverse Hessian using gradient differences, enabling efficient unconstrained minimization with superlinear convergence near a local minimizer without computing the exact Hessian.