On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix
Special Matrices, 2018 Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this
Pentti Haukkanen +2 more
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Frobenius-norm-based measures of quantum coherence and asymmetry. [PDF]
Sci Rep, 2016 We formulate the Frobenius-norm-based measures for quantum coherence and asymmetry respectively. In contrast to the resource theory of coherence and asymmetry, we construct a natural measure of quantum coherence inspired from optical coherence theory ...
Yao Y, Dong GH, Xiao X, Sun CP.
europepmc +7 more sources
Quaternion Nuclear Norm Minus Frobenius Norm Minimization for color image reconstruction
Pattern RecognitionColor image restoration methods typically represent images as vectors in Euclidean space or combinations of three monochrome channels. However, they often overlook the correlation between these channels, leading to color distortion and artifacts in the ...
Tieyong Zeng, Qiyu Jin, Michael K nG
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A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm [PDF]
Journal of Inequalities and Applications, 2018 Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile,
Xuesha Wu
doaj +6 more sources
Improving approximate inverses based on Frobenius norm minimization [PDF]
Applied Mathematics and Computation, 2013 1 ...
Luis Gonzalez, Antonio Suarez
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IEEE Access, 2022 This paper proposes a novel state estimation algorithm, called the distributed Frobenius-norm finite memory interacting multiple model (DFFM-IMM) estimation algorithm, for mobile robot localization in wireless sensor networks (WSNs).
Duckhyun Suh +3 more
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Multi-channel Nuclear Norm Minus Frobenius Norm Minimization for Color Image Denoising [PDF]
Signal Processing, 2022 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.
Yiwen Shan, D. Hu, Zhi Wang, Tao Jia
semanticscholar +3 more sources
Concentration of the Frobenius Norm of Generalized Matrix Inverses [PDF]
SIAM Journal on Matrix Analysis and Applications, 2018 In many applications it is useful to replace the Moore-Penrose pseudoinverse (MPP) by a different generalized inverse with more favorable properties. We may want, for example, to have many zero entries, but without giving up too much of the stability of ...
Ivan Dokmanić, R. Gribonval
semanticscholar +7 more sources
A Sensor Localization and Orientation Method for OPM-MEG Based on Rigid Coil Structures and Magnetic Dipole Fitting Models [PDF]
BioengineeringHigh-precision sensor co-registration is a critical prerequisite for achieving high-resolution imaging in Optically Pumped Magnetometer–Magnetoencephalography (OPM-MEG) systems.
Weinan Xu +8 more
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Connections Between Nuclear-Norm and Frobenius-Norm-Based Representations [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2015 A lot of works have shown that frobenius-norm-based representation (FNR) is competitive to sparse representation and nuclear-norm-based representation (NNR) in numerous tasks such as subspace clustering. Despite the success of FNR in experimental studies,
Xi Peng, Canyi Lu, Zhang Yi, Huajin Tang
semanticscholar +5 more sources