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Invariant subspace method for eigenvalue computation
IEEE Transactions on Power Systems, 1993Methods which first subdivide a large power system into subsystems, and which then study how the interactions between subsystems cause the eigenvalues and eigenvectors to vary between the subsystems and the total system are presented. The invariant subspace method, which allows eigenvalues that are difficult to study individually to be grouped into a ...
D.J. Stadnicki, J.E. Van Ness
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Linear-quadratic mean field control: The invariant subspace method
Automatica, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xiang, Huang, Minyi
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Kernel-based invariant subspace method for hyperspectral target detection
2004 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2004In this paper, a kernel-based invariant subspace detection method is proposed for small target detection of hyperspectral images. The method combines kernel principal component analysis (KPCA) and the linear mixture model (LMM). The LMM is used to describe each pixel in the hyper-spectral image as a mixture of target, background and noise.
null Ye Zhang, null Yanfeng Gu
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A Supervised Low-Rank Method for Learning Invariant Subspaces
2015 IEEE International Conference on Computer Vision (ICCV), 2015Sparse representation and low-rank matrix decomposition approaches have been successfully applied to several computer vision problems. They build a generative representation of the data, which often requires complex training as well as testing to be robust against data variations induced by nuisance factors.
Farzad Siyahjani +3 more
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4. Structured Invariant Subspace Methods
2011The numerical solution of an algebraic Riccati equation can be reduced to the computation of an invariant subspace of a suitable matrix or a deflating subspace of a suitable pencil.
Dario Andrea Bini +2 more
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Sensitivity eigenanalysis for single shift-invariant subspace-based methods
Signal Processing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergence of the Newton--Kantorovich Method for Calculating Invariant Subspaces
Mathematical Notes, 2004We propose a version of the Newton--Kantorovich method which, given a nondegenerate square n X n matrix and a number ...
Yu. M. Nechepurenko, M. Sadkane
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An invariant subspace method for large-scale algebraic Riccati equation
Applied Numerical Mathematics, 2010The linear time-invariant dynamical system \[ \begin{cases} \dot x(t) = Ax(t) + Bu(t),\quad x(0)=x_0,\\ y(t) ~=~ Cx(t), \end{cases} \tag{S} \] where \(A\), \(B\), \(C\) are matrices, is considered. In practice the square matrix \(A\) is \(n \times n\), and \(n\) is very large (of the order \(10^5\) or \(10^6\)).
Amodei, Luca, Buchot, Jean-Marie
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Three methods for refining estimates of invariant subspaces
Computing, 1987We compare three methods for refining estimates of invariant subspaces, due to \textit{F. Chatelin} [Comput. Suppl. 5, 67-74 (1984; Zbl 0555.65023)], \textit{J. Dongarra}, \textit{C. Moler} and \textit{J. Wilkinsons} [SIAM J. Numer. Anal. 20, 23-45 (1983; Zbl 0523.65021)] and \textit{G. Stewart} [SIAM Rev. 15, 727-764 (1973; Zbl 0297.65030)].
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The Invariant Subspace Method for Solving Fractional Partial Differential Equations
2020In this chapter, the authors discuss the effectiveness of the invariant subspace method (ISM) for solving fractional partial differential equations. For this purpose, they have chosen a nonlinear time fractional partial differential equation (PDE) with variable coefficients to be investigated through this method.
Mohamed Soror Abdel Latif +1 more
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