Abstract | ||
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We consider the task of diagonalizing symmetric time varying matrices A(t). Based on the dynamic inversion technique developed by Getz and Marsden, a differential equation is proposed, whose solutions asymptotically track the diagonalizing transformation. In particular, one does not need to perfectly match the initial conditions, as the solutions converge exponentially towards the desired transformation. Thus, the proposed method is robust under perturbations. |
Year | DOI | Venue |
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2002 | 10.1007/3-540-47789-6_44 | International Conference on Computational Science (3) |
Keywords | Field | DocType |
symmetric time,differential equation,diagonalizing transformation,solutions converge exponentially,dynamic inversion technique,initial condition,varying symmetric matrices,symmetric matrices | Differential equation,Mathematical optimization,Matrix (mathematics),Inversion (meteorology),Symmetric matrix,Initial value problem,Perturbation (astronomy),Mathematics,Exponential growth | Conference |
Volume | ISSN | ISBN |
2331 | 0302-9743 | 3-540-43594-8 |
Citations | PageRank | References |
2 | 0.47 | 3 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Markus Baumann | 1 | 11 | 1.96 |
Uwe Helmke | 2 | 337 | 42.53 |