Results 31 to 40 of about 341,424 (240)
Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors
SIAM Journal on Matrix Analysis and Applications, 2023 Abstract. 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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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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An Efficient Algorithm for the Reflexive Solution of the Quaternion Matrix Equation AXB+CXHD=F
Journal of Applied Mathematics, 2013 We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation AXB+CXHD=F. When the matrix equation is consistent over reflexive matrix X, a reflexive solution can be obtained within finite iteration steps in the ...
Ning Li, Qing-Wen Wang, Jing Jiang
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Multi-channel nuclear norm minus Frobenius norm minimization for color image denoising
Signal Processing, 2023 Color image denoising is frequently encountered in various image processing and computer vision tasks. One traditional strategy is to convert the RGB image to a less correlated color space and denoise each channel of the new space separately. However, such a strategy can not fully exploit the correlated information between channels and is inadequate to
Yiwen Shan +3 more
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Composite Schatten-p norm factorization for efficient matrix completion
Frontiers in Artificial IntelligenceSchatten-p norm optimization has emerged as an effective non-convex relaxation for low-rank matrix completion. However, the primary computational bottleneck arises from repeated singular value decomposition (SVD) operations required during optimization ...
Jiaoyan Zhao, Shuangyan Yi
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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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Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers
Abstract and Applied Analysis, 2015 Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed.
Zhaolin Jiang, Yunlan Wei
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On subspace distances determined by the Frobenius norm
Linear Algebra and its Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baksalary, Oskar Maria, Trenkler, Götz
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