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Studies on a Parallel Algorithm for Bidiagonal Singular Value Decomposition
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More Accurate Bidiagonal Reduction for Computing the Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications, 2002As a preliminary stage for computing the singular value decomposition of a matrix \(A \in R^{m \times n}\) (\(m \geq n\)) the reduction of \(A\) to a bidiagonal form is discussed, i.e. one has to find orthogonal matrices \(U \in R^{n \times n}\) and \(V \in R^{m \times m}\) such that \(U^T A^T V = (B 0)\) with a bidiagonal \((n \times n)\) matrix \(B\).
Jesse L Barlow
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Singular value decomposition for bidiagonal filter matrices
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jesus Gutierrez-Gutierrez +1 more
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Dynamical Aspects of the Bidiagonal Singular Value Decomposition
Mathematical Sciences Research Institute Publications, 1991In this paper we describe some striking stability properties of the singular value decomposition (SVD) of a bidiagonal matrix and of the Hamiltonian flow which interpolates the standard SVD algorithm at integer times.
Luen-Chau Li +2 more
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AEU - International Journal of Electronics and Communications, 2016
Abstract Watermarking, means hiding data in digital medium such as image, is a good solution for copyright protection and authentication. Watermarking methods must have a good resistance again various attacks. Wavelet based techniques, due to their compatibility with the human visual system, have been used frequently in this area.
Mohammad Ali Zare Chahooki
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Abstract Watermarking, means hiding data in digital medium such as image, is a good solution for copyright protection and authentication. Watermarking methods must have a good resistance again various attacks. Wavelet based techniques, due to their compatibility with the human visual system, have been used frequently in this area.
Mohammad Ali Zare Chahooki
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Accurate Singular Values of Bidiagonal Matrices
omputing the singular values of a bidiagonal matrix is the fin al phase of the standard algow rithm for the singular value decomposition of a general matrix.
James Demmel, W Kahan
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Computing the Bidiagonal SVD Using Multiple Relatively Robust Representations
We describe the design and implementation of a new algorithm for computing the singular value decomposition (SVD) of a real bidiagonal matrix. This algorithm uses ideas developed by Grosser and Lang that extend Parlett's and Dhillon's multiple relatively
Bruno Lang, Christof Vomel
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A new stable bidiagonal reduction algorithm [PDF]
A new bidiagonal reduction method is proposed for X∈Rm×n. For m⩾n, it decomposes X into the product X=UBVT where U∈Rm×n has orthonormal columns, V∈Rn×n is orthogonal, and B∈Rn×n is upper bidiagonal.
Zlatko Drmač +2 more
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