Results 41 to 50 of about 1,101,519 (253)
On Some Matrix Trace Inequalities
Journal of Inequalities and Applications, 2010 We first present an inequality for the Frobenius norm of the Hadamard product of two any square matrices and positive semidefinite matrices. Then, we obtain a trace inequality for products of two positive semidefinite block matrices by using 2×2 ...
Ramazan Türkmen +1 more
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Homogeneity Test of Multi-Sample Covariance Matrices in High Dimensions
Mathematics, 2022 In this paper, a new test statistic based on the weighted Frobenius norm of covariance matrices is proposed to test the homogeneity of multi-group population covariance matrices.
Peng Sun, Yincai Tang, Mingxiang Cao
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Weighted Low Rank Approximation for Background Estimation Problems
, 2017 Classical principal component analysis (PCA) is not robust to the presence of sparse outliers in the data. The use of the $\ell_1$ norm in the Robust PCA (RPCA) method successfully eliminates the weakness of PCA in separating the sparse outliers. In this
Dutta, Aritra, Li, Xin
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Error bound of the multilevel adaptive cross approximation (MLACA) [PDF]
, 2016 An error bound of the multilevel adaptive cross approximation (MLACA 1, which is a multilevel version of the adaptive cross approximation-singular value decomposition (ACA-SVD), is rigorously derived.
Cao, Qunsheng +4 more
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Noisy low-rank matrix completion with general sampling distribution [PDF]
, 2014 In the present paper, we consider the problem of matrix completion with noise. Unlike previous works, we consider quite general sampling distribution and we do not need to know or to estimate the variance of the noise.
Klopp, Olga
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SymmetryThe present research investigates the global asymptotic stability of bidirectional associative memory (BAM) neural networks using distinct sufficient conditions.
N. M. Thoiyab +3 more
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The nearest graph Laplacian in Frobenius norm
Numerical Linear Algebra with ApplicationsAbstractWe address the problem of finding the nearest graph Laplacian to a given matrix, with the distance measured using the Frobenius norm. Specifically, for the directed graph Laplacian, we propose two novel algorithms by reformulating the problem as convex quadratic optimization problems with a special structure: one based on the active set method ...
Kazuhiro Sato, Masato Suzuki
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Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors
SIAM Journal on Matrix Analysis and Applications, 2023 One of the fundamental problems in multilinear algebra, the minimum ratio between the spectral and Frobenius norms of tensors, has received considerable attention in recent years. While most values are unknown for real and complex tensors, the asymptotic order of magnitude and tight lower bounds have been established.
Shengyu Cao +3 more
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Journal of Applied Mathematics, 2012 An iterative algorithm is constructed to solve the generalized coupled Sylvester matrix equations (AXB-CYD,EXF-GYH)=(M,N), which includes Sylvester and Lyapunov matrix equations as special cases, over generalized reflexive matrices X and Y.
Feng Yin, Guang-Xin Huang
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IEEE Photonics Journal, 2021 In this article, we investigate the performance of the newly designed 4 × 4 optical wireless multiple-input-multiple-output (MIMO-OWC) system based on a linearly-shaped arrangement of transmitters and receivers, to achieve long-distance and high ...
Tetsuya Nakamura +4 more
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