We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
Relays are common in automatic control systems. Even linear systems with relay feedback are, however, far from fully understood. New results are given about the behavior of these ...
Karl Henrik Johansson, Anders Rantzer, Karl Johan ...
Many numerical algorithms are specified in terms of operations on vectors and matrices. Matrix operations can be executed extremely efficiently using specialized linear algebra k...
We show that a fast algorithm for the QR factorization of a Toeplitz or Hankel matrix A is weakly stable in the sense that RT R is close to AT A. Thus, when the algorithm is used ...
Adam W. Bojanczyk, Richard P. Brent, Frank R. de H...
This paper presents three feedback controllers that achieve an asymptotically stable, periodic, and fast walking gait for a 3D bipedal robot consisting of a torso, revolute knees, ...
Christine Chevallereau, Jessy W. Grizzle, Ching-Lo...