Oct 31, 2014 · Lyapunov equations with low-rank right-hand sides often have solutions whose singular values decay rapidly, enabling iterative methods that produce low-rank ...

Lyapunov equations with low-rank right-hand sides often have solutions whose singular values decay rapidly, enabling iterative methods that produce low-rank ...

Lyapunov equations with low-rank right-hand sides often have solutions whose sin- gular values decay rapidly, enabling iterative methods that produce low-rank ...

Lyapunov equations with low-rank right-hand sides often have solutions whose singular values decay rapidly, enabling iterative methods that produce low-rank ...

TL;DR: In this paper, it was shown that a larger departure from normality can actually correspond to faster decay of singular values: if the singular values ...

We consider the decay rate of the singular values of the input map, the output map and the Hankel operator for a class of infinite-dimensional systems.

Fast singular value decay for Lyapunov solutions with nonnormal coefficients. J Baker, M Embree, J Sabino. SIAM Journal on Matrix Analysis and Applications 36 ...

Numerical analysis, especially matrix computations · Dynamics and perturbation theory for non-self-adjoint operators · Spectral theory for Schrödinger operators.

A fast decay of the singular values corresponds to a low numerical rank, which is a critical feature in large-scale applications. The results reported here ...

– New analysis of Lyapunov solutions with nonnormal coefficients. – Increasing departure from normality can give faster singular value decay. – Interior ...