# proper orthogonal decomposition

## Krylov-subspace recycling via the POD-augmented conjugate-gradient method

This work presents a new Krylov-subspace-recycling method for efficiently solving sequences of linear systems of equations characterized by varying right-hand sides and symmetric-positive-definite matrices. As opposed to typical truncation strategies …

## An adaptive POD-Krylov reduced-order model for structural optimization

We present an adaptive proper orthogonal decomposition (POD)-Krylov reduced-order model (ROM) for structural optimization. At each step of the optimization loop, we compute approximate solutions to the structural state and sensitivity equations using …