Results 11 to 20 of about 3,813,510 (369)
Rank-Sparsity Incoherence for Matrix Decomposition [PDF]
, 2009 Suppose we are given a matrix that is formed by adding an unknown sparse matrix to an unknown low-rank matrix. Our goal is to decompose the given matrix into its sparse and low-rank components.
Chandrasekaran, Venkat +3 more
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A matrix decomposition theorem
Journal of Mathematical Analysis and Applications, 1972 Alladi Ramakrishnan
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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
doaj +1 more source
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups [PDF]
SIAM Journal on Matrix Analysis and Applications, 2004 The polar decomposition of \(A\) is \(A=UH\), where \(A\) has complex elements, \(U\) is unitary, \(H\) is Hermitian positive semi-definite. The authors identify a family of globally convergent rational iterations that preserve group structure. They show how the structure preservation leads to particularly convenient convergence tests in the case of ...
Higham, Nicholas J. +3 more
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Ensemble Joint Sparse Low-Rank Matrix Decomposition for Thermography Diagnosis System
IEEE transactions on industrial electronics (1982. Print), 2021 Composite is widely used in the aircraft industry and it is essential for manufacturers to monitor its health and quality. The most commonly found defects of composite are debonds and delamination. Different inner defects with complex irregular shape are
Junaid Ahmed +3 more
semanticscholar +1 more source
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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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 ...
Ortega-Quijano, Noé +1 more
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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions [PDF]
, 2011 Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in data analysis and scientific computing.
Halko, N. +2 more
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Matrix Decomposition for Massive MIMO Detection [PDF]
IEEE Nordic Circuits and Systems Conference, 2020 Massive multiple-input multiple-output (MIMO) is a key technology for fifth generation (5G) communication system. MIMO symbol detection is one of the most computationally intensive tasks for a massive MIMO baseband receiver.
Shahriar Shahabuddin +4 more
semanticscholar +1 more source
Probability Matrix Decomposition Models [PDF]
Psychometrika, 1996 In this paper, we consider a class of models for two-way matrices with binary entries of 0 and 1. First, we consider Boolean matrix decomposition, conceptualize it as a latent response model (LRM) and, by making use of this conceptualization, generalize it to a larger class of matrix decomposition models.
Maris, E., DeBoeck, P., Mechelen, I. van
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