A tensor bidiagonalization method for higher‐order singular value decomposition with applications
Numerical Linear Algebra with Applications, Volume 31, Issue 2, March 2024.Abstract The need to know a few singular triplets associated with the largest singular values of a third‐order tensor arises in data compression and extraction. This paper describes a new method for their computation using the t‐product. Methods for determining a couple of singular triplets associated with the smallest singular values also are ...
A. El Hachimi +3 more
wiley +1 more source
Accurate bidiagonal decomposition of Lagrange–Vandermonde matrices and applications
Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.Abstract Lagrange–Vandermonde matrices are the collocation matrices corresponding to Lagrange‐type bases, obtained by removing the denominators from each element of a Lagrange basis. It is proved that, provided the nodes required to create the Lagrange‐type basis and the corresponding collocation matrix are properly ordered, such matrices are strictly ...
Ana Marco +2 more
wiley +1 more source
Rank structure properties of rectangular matrices admitting bidiagonal-type factorizations
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Spectral Separation of Quantum Dots within Tissue Equivalent Phantom Using Linear Unmixing Methods in Multispectral Fluorescence Reflectance Imaging [PDF]
Introduction Non-invasive Fluorescent Reflectance Imaging (FRI) is used for accessing physiological and molecular processes in biological media. The aim of this article is to separate the overlapping emission spectra of quantum dots within tissue ...
نجف زاده, ابراهیم +3 more
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Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications [PDF]
, 2017 Cauchy–Vandermonde matrices play a fundamental role in rational interpolation theory and in other fields. When all their corresponding nodes are different and positive and all poles are different and negative and follow adequate orderings, these matrices
Martínez, José-Javier +2 more
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Split Bregman iteration for multi-period mean variance portfolio optimization. [PDF]
Appl Math Comput, 2021 Corsaro S, De Simone V, Marino Z.
europepmc +1 more source
Solution to the General Inner-Outer and Spectral Factorization Problems [PDF]
, 1998 In this paper we solve two open problems in linear system theory: the computation of the spectral and inner-outer factorizations of a rational matrix G in the most general setting.
Varga, A., Oara, C.
core
Using underapproximations for sparse nonnegative matrix factorization [PDF]
Nonnegative Matrix Factorization (NMF) has gathered a lot of attention in the last decade and has been successfully applied in numerous applications.
GILLIS, Nicolas, GLINEUR, François
core
X-chain-Factorization: X-chain-Factorization
, 2015 <p>This is the first version of X-chain Factorization algorithm for graph states.</p ...
emmanuelwjy
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Vector-exponential time-series modeling for polynomial J-spectral factorization
, 2005 An iterative algorithm to perform the J-spectral factorization of a para-Hermitian matrix is presented. The algorithm proceeds by computing a special kernel representation of an interpolant for a sequence of points and associated directions determined ...
Pendharkar, Ishan +2 more
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