 ##  [Conjugate Gradient Method](/conjugate-gradient-method) 

  ##  [Conjugate Gradient Method](https://natural.quantumdictionary.io/conjugate-gradient-method-0) 

  
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**Natural &amp; Formal Sciences Dictionary**

 
Definition

An iterative linear solver that constructs mutually conjugate search directions to minimize the quadratic form associated with a symmetric positive-definite matrix and its right-hand side.

 
 ##  [Conjugate Gradient Method](https://mathlogic.quantumdictionary.io/conjugate-gradient-method-1) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

An iterative algorithm for solving large symmetric positive-definite linear systems Ax = b and for minimizing quadratic functions by generating A-conjugate search directions that converge to the exact solution in at most n steps in exact arithmetic.