D. S. Watkins, Isospectral flows, SIAM Rev., 26(1984), 379-391. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
The Homotopy Method Applied to the Symmetric Eigenproblem - Oettli (1995) (1 citation) (Correct)
....whereas the discrete method involves systems of difference equations. Many of these continuous analogues of iterative processes, e.g. the Toda flow for the QR algorithm, have been proposed over the past few years to get new insight into the convergence behavior of the iterative processes [76, 80, 81, 23, 48]. The reverse way is taken here with the homotopy method. Starting with a system of differential equations, an iterative process is derived in order to trace eigenpaths numerically. The general predictor corrector method as introduced in Section 2.1 is easily adapted to our specific problem of ....
D. S. Watkins. Isospectral flows. SIAM Rev., 26:379--391, 1984.
The Bidiagonal Singular Value Decomposition and.. - Deift, Demmel, Li, Tomei (1991) (10 citations) (Correct)
....tu The above result is due to Chu [Chu86] and is modeled on related results ( Sym80] Sym82] and Deift Nanda Tomei [DNT83] for the symmetric eigenvalue problem. The relationship between the singular value flow (7. 1) and Toda type eigenvalue flows ( Sym80] Sym82] DNT83] DLNT86] DLT89] [Wat84]) is described by the following theorem, whose proof is immediate. Theorem 7.9 Under the map A 7 T (A) A T A (7:10) equation (7.1) is transformed into dT dt = T ; 0 (F (T ) 7:11) tu Remark 7.12 The perfect shuffle A 7 0 A T A 0 7 S(A) of Section 2, transforms the ....
D. S. Watkins. Isospectral flows. SIAM Review, 26:379--391, 1984.
The Homotopy Method Applied to the Symmetric Eigenproblem - Oettli (1995) (1 citation) (Correct)
....whereas the discrete method involves systems of difference equations. Many of these continuous analogues of iterative processes, e.g. the Toda flow for the QR algorithm, have been proposed over the past few years to get new insight into the convergence behavior of the iterative processes [76, 80, 81, 23, 48]. The reverse way is taken here with the homotopy method. Starting with a system of differential equations, an iterative process is derived in order to trace eigenpaths numerically. The general predictor corrector method as introduced in Section 2.1 is easily adapted to our specific problem of ....
D. S. Watkins. Isospectral flows. SIAM Rev., 26:379--391, 1984.
A List of Matrix Flows with Applications - Moody Chu Department (1994) (11 citations) (Correct)
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D. S. Watkins, Isospectral flows, SIAM Rev., 26(1984), 379-391.
Matrix Differential Equations: - Continuous Realization Process (Correct)
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D. S. Watkins, Isospectral flows, SIAM Rev., 26(1984), 379-391.
Unknown - (1996) (Correct)
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D.S. Watkins, "Isospectral flows", SIAM Rev. 26 (1984), 379--391. 15
Schur Flows for Orthogonal Hessenberg Matrices - Ammar, Gragg (1994) (2 citations) (Correct)
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D.S. Watkins, Isospectral Flows. SIAM Rev. 26, pp 379--392, 1984. 11
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