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Application of Toeplitz matrix in image restoration
2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2010An image degradation process is considered as equivalent to a linear transformation of original image matrix processed by transfer function and noise, while the image restoration process is equivalent to trying to get the original image using the least squares method.
null Yu Hua +2 more
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A Bound for the Inverse of a Lower Triangular Toeplitz Matrix
SIAM Journal on Matrix Analysis and Applications, 2003The author obtains an explicit bound, namely, \(\| A_n^{-1}\| _{\infty }\leq \frac{2}{a}+\frac{1}{a_0}\) of the inverse of a lower triangular Toeplitz matrix \(A_n=(a_{ij})\) with \(a_{ij}=a_{i-j}\), inf \(a_k=a>0\), \(a_k>0\), \(a_{k+1}-a_k\leq 0\), and shows how this result can be used in the study of numerical stability of some linear methods ...
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An eigenvalue problem for a symmetric Toeplitz matrix
Numerical Analysis and Applications, 2009An algorithm is developed which determines eigenvalues for a symmetric Toeplitz matrix. To this end, we substantiate the generality of eigenvalues problems for a symmetric Toeplitz matrix and for a persymmetric Hankel one. The latter is reduced to an eigenvalue problem for a persymmetric Jacobi matrix.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021Juan Ignacio Cirac Sasturáin +2 more
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