Concepedia

A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations

Serkan Gugercin, D. C. Sorensen, A.C. Antoulas

Numerical Algorithms · 2003 · 176 citations · 21 references

DOI

References

21

Principal component analysis in linear systems: Controllability, observability, and model reduction

B. Moore · IEEE Transactions on Automatic Control · 1981 · 5.2K citations

, , +17

The Numerical Solution of Parabolic and Elliptic Differential Equations

D.W. Peaceman, H.H. Rachford · Journal of the Society for Industrial and Applied Mathematics · 1955 · 3.2K citations

, , +12

All optimal Hankel-norm approximations of linear multivariable systems and their<i>L</i>,<sup>∞</sup>-error bounds†

K. Glover · International Journal of Control · 1984 · 2.9K citations

Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]

Richard H. Bartels, G. W. Stewart · Communications of the ACM · 1972 · 1.9K citations · Full text

, , +6

Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†

Jeffrey Roberts · International Journal of Control · 1980 · 420 citations

, , +10