The ADI Model Problem

By E. Wachspress. 2013

81 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/f358c07fdc29c3882548cbe317f94a8e742c979c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Peter Benner
2. Patrick Kürschner
3. Jens Saak

In Control and Systems Engineering

1. Peter Benner
2. Patrick Kürschner
3. Jens Saak

Citations in the corpus

• An improved numerical method for balanced truncation for symmetric second-order systems (2013, background): “, μjmax} ⊂ C− steer the convergence of the algorithm and are tightly related to the spectrum (A, E) via a rational optimization problem [22].”
• Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data (2016, unknown): “For problems of some special forms, such as the Lyapunov equations, one can employ ADI [53] or tensor product Krylov methods [29].”
• Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations (2014, background): “For normal matrix pairs (i.e., the left and right eigenvectors coincide)(A,E), (F,G) in (3.1), it can be shown [10, 24, 31, 41] that optimal shifts forJ iterations of Algorithm3.”