singular values
New inclusion sets for singular values
... Singular values and the singular value decomposition play an important role in numerical analysis and many other applied fields [–]. First, we will use the following notations and definitions. Let N ...
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Generalized SURE for optimal shrinkage of singular values in low-rank matrix denoising
... There exists an abundant literature of the problem of estimating the rank of an em- pirical covariance matrix for the purpose of selecting the appropriate number of significant components to be kept in PCA or factor ...
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Relative perturbation results for matrix eigenvalues and singular values
... There are several algorithms for computing singular values of a bidiagonal matrix to high relative accuracy (Demmel and Kahan 1990, Fernando and Parlett 1994). Because such algorithms apply a sequence of ...
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Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
... For brevity we only consider square matrices. The generalizations from square matrices to rectangular matrices are obvious, and usually problems on singular values of rectangular matrices can be converted ...
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Improving SVD-based image watermarking via block-by-block optimization on singular values
... on singular value decomposition (SVD) by using optimization-based quantization on multiple singular values in the wavelet ...multiple singular value quantizations to embed a watermark ...
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Computing Structured Singular Values for Sturm-Liouville Problems
... Structured Singular Values (SSV) for a family of matrices obtained while considering matrix representation of Sturm- Liouville (S-L) problems with eigenparameter-dependent boundary ...
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Numerical Computation of Lower Bounds of Structured Singular Values
... Abstract. In this article we have considered numerical approximation of lower bounds of Struc- tured Singular Values, SSV. The SSV is a well-known mathematical quantity which is widely used to analyse and ...
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A Comparison of the Methods used for Selecting Singular values in Image Compression using SVD
... Image Compression is an important field of image processing. Many authors used the SVD combined with other transforms to achieve a good compression results. In [3,5], the image is divided into blocks of 8*8 pixels, and ...
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Computing Structured Singular Values for Delay and Polynomial Eigenvalue Problems
... structured singular values for the delay eigenvalue and polynomial eigenvalue problems is ...structured singular value of a matrix subject to general pure complex and mixed real and complex block ...
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Rank one perturbation bounds for singular values of arbitrary matrices
... the singular values and the eigenvalues, we discuss singular value variations and present two-side bounds of the singular values for rank-one perturbation of arbitrary ...
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A Singular Values Based Newton Method for Linear Complementarity Problems
... The existence condition of the solution of special nonlinear penalized equation of the linear com- plementarity problems is obtained by the relationship between penalized equations and an abso- lute value equation. ...
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Bounded type Siegel disks of finite type maps with few singular values
... Abstract. Let U be an open subset of The Riemann sphere S. We give sufficient conditions for which a finite type map f : U → S with at most three singular values has a Siegel disk compactly contained in U ...
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V singular values of rectangular tensors and their applications
... The V-singular value inclusion set Γ (A) and the exact V-singular values are drawn in Fig. 1, where Γ ( A ) is represented by solid boundary, and the exact V-singular values are plotted ...
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From Eigenvalues to Singular Values: A Review
... The current review brings together several old and new results. The “old” results come with appropriate references. In contrast, the “new” results come without references, as most of them are taken from a recent re- ...
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GPR Target Signal Enhancement Using Least Square Fitting Background and Multiple Clustering of Singular Values
... We have described a novel approach of GPR signal enhancement using least square fitting method and multiple clustering to singular values with assumption of four signal components included. The studied ...
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On the singular values decoupling in the Singular Spectrum Analysis of volcanic tremor at Stromboli
... The singular values are computed on each of the one-minute time ...the singular values, the data in each time window is normalized to zero mean and unitary ...
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Hyperspectral image denoising via minimizing the partial sum of singular values and superpixel segmentation
... where ∥•∥ ∗ is the nuclear norm(i.e., the sum of the singular values). Regarding the solution for Eq. (5), various algorithms have been proposed, where Alternating Direc- tion Method of Multiplier (ADMM) ...
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Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators
... In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω ⊂ R n with smooth compact boundary are studied. A Schatten–von Neumann type ...
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An Upper Limit for Iterative Learning Control Initial Input Construction Using Singular Values
... This paper sets an upper limit condition in constructing the initial input using singular values based on system presence. It is required in input construction that it would not generate a high effort at ...
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Inequalities For Singular Values And Traces Of Quaternion Hermitian Matrices
... Keywords: Hermitian Matrices, Quaternian Matrices, Singular value, Trace of Matrix, Triple Complex Matrices... Page 121 www.ijiras.com | Email: [email protected] The proof is complete[r] ...
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