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D. S. Watkins and L. Elsner, Self-similar flows, Linear Alg. Appl., 110(1988), 213-242.

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Shift policies in QR-like algorithms and feedback control of.. - Paul Van Dooren (1999)   (1 citation)  (Correct)

....FG algorithm. Shifted FG algorithms typically lead to improved convergence in the situations where the FG algorithm converges. In the situations where the FG algorithm does not converge, shift policies may be used to achieve a continuation of the algorithm, by avoiding certain singularities ([6]) QR SHIFTS AND FEEDBACK CONTROL 3 Open problem. The analysis of shifted algorithms and a systematic design of shift policies to improve convergence of the FG algorithms are essentially open problems in numerical analysis (See Section 4 for some existing results) 1.2 Reformulation of the ....

.... of numerical analysis (Rutishauser himself [5] derived a continuous analogue of the quotient di#erence algorithm, a predecessor of the QR algorithm) The complete connection between (shifted) FG algorithms and their corresponding self similar flows is more recent and is due to Watkins and Elsner [6]. The potential importance of such connections was brought to the attention of the control community by Brockett [2, 3] who established the connection between the double bracket flow and several algorithmic problems, including the QR algorithm. This line of research has quickly developed over ....

D. Watkins and L. Elsner, "Self-Similar Flows", Linear Algebra and its Applications, 110, pp. 213-242 (1988).


Continuous Time Recursive Least Squares Estimation With .. - Dehaene, Moonen.. (1993)   (Correct)

....counterpart of the concept of uniform local implementation. 1 Introduction This work borrows and combines ideas from the fields of continuous time algorithms, neural networks and adaptive signal processing. Continuous time algorithms have raised considerable interest in recent years, see e.g. [1, 2, 3, 4]. This field has solid mathematical foundations, has some of its roots in physics [5] and sheds new light on classical numerical algorithms for the calculation of eigenvalues, linear programming, and many related problems. The general idea borrowed from the field of neural networks is the idea of ....

D.S. Watkins and L. Elsner, "Self-similar flows," Linear Algebra and its Applications, Vol. 110, pp. 213-242, 1988.


A List of Matrix Flows with Applications - Moody Chu Department (1994)   (11 citations)  (Correct)

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D. S. Watkins and L. Elsner, Self-similar flows, Linear Alg. Appl., 110(1988), 213-242.


Matrix Differential Equations: - Continuous Realization Process   (Correct)

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D. S. Watkins and L. Elsner, Self-similar flows, Linear Alg. Appl., 110(1988), 213-242.


New Lyapunov functions for the continuous-time QR algorithm - Dehaene, Vandewalle (1999)   (Correct)

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D.S. Watkins and L. Elsner, "Self-similar flows," Linear Algebra and its Applications, vol. 110, pp. 213--242, 1988.

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