Results 11 to 20 of about 834,250 (307)
Optimal CUR Matrix Decompositions [PDF]
Proceedings of the forty-sixth annual ACM symposium on Theory of computing, 2014 The CUR decomposition of an $m \times n$ matrix $A$ finds an $m \times c$ matrix $C$ with a subset of $c < n$ columns of $A,$ together with an $r \times n$ matrix $R$ with a subset of $r < m$ rows of $A,$ as well as a $c \times r$ low-rank matrix $U ...
Boutsidis C. +4 more
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A matrix decomposition theorem
Journal of Mathematical Analysis and Applications, 1972 Alladi Ramakrishnan
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Matrix Algebras and Displacement Decompositions [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 A class $\xi$ of algebras of symmetric n × n matrices, related to Toeplitz-plus-Hankel structures and including the well-known algebra $\mathcal{H}$ diagonalized by the Hartley transform, is investigated. The algebras of $\xi$ are then exploited in a general displacement decomposition of an arbitrary n × n matrix A. Any algebra of $\xi$ is a 1-space, i.
Carmine Di Fiore
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Mueller matrix differential decomposition [PDF]
Optics Letters, 2011 We present a Mueller matrix decomposition based on the differential formulation of the Mueller calculus. The differential Mueller matrix is obtained from the macroscopic matrix through an eigenanalysis. It is subsequently resolved into the complete set of 16 differential matrices that correspond to the basic types of optical behavior for depolarizing ...
Noé Ortega-Quijano +1 more
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups [PDF]
SIAM Journal on Matrix Analysis and Applications, 2004 For any matrix automorphism group G associated with a bilinear or sesquilinear form, Mackey, Mackey, and Tisseur have recently shown that the matrix sign decomposition factors of A ∈ G also lie in G; moreover, the polar factors of A lie in G if the matrix of the underlying form is unitary.
Higham, Nicholas J. +3 more
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Arbitrary decomposition of a Mueller matrix [PDF]
Optics Letters, 2019 Mueller polarimetry involves a variety of instruments and technologies whose importance and scope of applications are rapidly increasing. The exploitation of these powerful resources depends strongly on the mathematical models that underlie the analysis and interpretation of the measured Mueller matrices and, very particularly, on the theorems for ...
José J. Gil, Ignacio San José
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Prime decomposition of quadratic matrix polynomials
AIMS Mathematics, 2021 We study the prime decomposition of a quadratic monic matrix polynomial. From the prime decomposition of a quadratic matrix polynomial, we obtain a formula of the general solution to the corresponding second-order differential equation.
Yunbo Tian, Sheng Chen
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On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
Special Matrices, 2015 We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition.
Ohashi A., Sogabe T., Usuda T.S.
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Empirical Bayes Linked Matrix Decomposition. [PDF]
Mach LearnData for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies may capture different feature sets (e.g., corresponding to rows in a matrix) and/or different sample populations ...
Lock EF.
europepmc +4 more sources