= Uzawa iteration
{wiki=Uzawa_iteration}
Uzawa iteration is a mathematical technique used primarily in the field of numerical analysis and optimization, particularly for solving saddle point problems that often arise in constrained optimization and in mixed finite element methods. It is an iterative algorithm that focuses on decomposing a problem into simpler subproblems that are easier to solve. The method is named after Hiroshi Uzawa, who introduced it in the context of solving linear systems arising from the discretization of partial differential equations with constraints.
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