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Showing 1 to 6 of 6 for “"Sherman Morrison"”.
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The Sherman Morrison Iteration
The Sherman Morrison iteration method is developed to solve regularized least squares problems. Notions of pivoting and splitting are deliberated on to make the method more robust. The Sherman Morrison iteration method is shown to be effective when dealing with an extremely underdetermined least …
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Propagation Failure in Discrete Inhomogeneous Medium Using a Caricature of the Cubic
… a combination of Jacobi-Operator theory and the Sherman-Morrison formula we de- rive exact solutions in the cases of homogeneous and inhomogeneous diffusion. Solutions exist only under certain conditions outlined in their construction. The range of parameter values that satisfy these conditions …
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A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes
… is proven by the invertibility of the well-known Sherman-Morrison system. Furthermore we derive a group of fundamental identities about the IFE shape functions, which show that the two polynomial components in an IFE shape function are highly related. Finally we employ these fundamental identities …
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Weak decays of beautiful pseudoscalar mesons with Lattice Quantum Chromodynamics
… from weak decays to explore applications of the Sherman-Morrison-Woodbury formula within the framework of lattice QCD. I find computational efficiencies in determining the inverse and the determinant of quark matrices. Potential applications are discussed.
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Probabilistic Approximations of Matrix Decompositions for Inverse Problems
… decompositions. This thesis makes use of the Sherman-Morrison-Woodbury formula/matrix inversion lemma, Schur Complements, pseudoinverses, the eigenvalue decomposition, the singular value decomposition, the Cholesky decomposition and particularly the QR decomposition. This thesis presents a …
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Efficient formulation and implementation of ensemble based methods in data assimilation
… it an EnKF implementation based on an iterative Sherman Morrison formula is proposed. The rank deficiency of the ensemble covariance matrix is exploited in order to efficiently compute the analysis increments during the assimilation process. The computational effort of the proposed method is …