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Toeplitz and Hankel matrix approximation using structured approach
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002Algorithms are presented for least-squares approximation of Toeplitz and Hankel matrices from noise corrupted or ill-composed matrices, which may not have correct structural or rank properties. Utilizing Caratheodery theorem on complex number representation to model the Toeplitz and Hankel matrices, it is shown that these matrices possess specific row ...
Shaw, Arnab K. +2 more
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Another Constructed Chaotic Image Encryption Scheme Based on Toeplitz Matrix and Hankel Matrix
Fundamenta Informaticae, 2010This paper presents a novel image encryption scheme based on Toeplitz matrix and Hankel matrix. According to the definition and the expression of Toeplitz matrix and Hankel matrix, we permutate the positions of image pixels to confuse the relationship between the plain-image and cipher-image, and construct a new key. To enhance security further, hyper-
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Toeplitz/Hankel Matrix Structure and Polynomial Computations
2001Toeplitz matrices, Hankel matrices, and matrices with similar structures (such as Frobenius, Sylvester, and subresultant matrices) are probably the most studied structured matrices. Among their numerous important areas of application, we select fundamental polynomial computations, including multiplication, and the Extended Euclidean Algorithm, together
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Structured Gradient Descent for Fast Robust Low-Rank Hankel Matrix Completion
SIAM Journal of Scientific Computing, 2023HanQin Cai, Juntao You
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Annihilating Filter-Based Low-Rank Hankel Matrix Approach for Image Inpainting
IEEE Transactions on Image Processing, 2015Kyong Hwan Jin, Jong Chul Ye
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Sparse and Low-Rank Decomposition of a Hankel Structured Matrix for Impulse Noise Removal
IEEE Transactions on Image Processing, 2018Kyong Hwan Jin, Jong Chul Ye
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Model order determination using the Hankel matrix of impulse responses
Applied Mathematics Letters, 2011Feng Ding
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Hankel Low-Rank Approximation for Seismic Noise Attenuation
IEEE Transactions on Geoscience and Remote Sensing, 2019Chong Wang, Zhihui Zhu, Hanming Gu
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