Results 21 to 30 of about 26,208 (246)
Every Matrix is a Product of Toeplitz Matrices [PDF]
Foundations of Computational Mathematics, 2015 18 ...
Ye, Ke, Lim, Lek-Heng
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An Improved Multiple-Toeplitz Matrices Reconstruction Algorithm for DOA Estimation of Coherent Signals [PDF]
Radioengineering, 2021 The Toeplitz matrix reconstruction algorithms exploit the row vector of an array output covariance matrix to reconstruct Toeplitz matrix, which provide the direction-of-arrival (DOA) estimation of coherent signals.
B. B. Qi, W. Li
doaj
Numerical inversion of finite Toeplitz matrices and vector Toeplitz matrices [PDF]
, 1968 Numerical technique increases the efficiencies of the numerical methods involving Toeplitz matrices by reducing the number of multiplications required by an N-order Toeplitz matrix from N-cubed to N-squared multiplications.
Bareiss, E. H.
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A note on multilevel Toeplitz matrices
Special Matrices, 2019 Chien, Liu, Nakazato and Tam proved that all n × n classical Toeplitz matrices (one-level Toeplitz matrices) are unitarily similar to complex symmetric matrices via two types of unitary matrices and the type of the unitary matrices only depends on the ...
Cao Lei, Koyuncu Selcuk
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Unitary equivalence to a truncated Toeplitz operator: analytic symbols [PDF]
, 2011 Unlike Toeplitz operators on $H^2$, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Garcia, Stephan Ramon +2 more
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Toeplitz nonnegative realization of spectra via companion matrices
Special Matrices, 2019 The nonnegative inverse eigenvalue problem (NIEP) is the problem of finding conditions for the existence of an n × n entrywise nonnegative matrix A with prescribed spectrum Λ = {λ1, . . ., λn}.
Collao Macarena +2 more
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Optimization of Bipolar Toeplitz Measurement Matrix Based on Cosine-Exponential Chaotic Map and Improved Abolghasemi Algorithm [PDF]
Radioengineering, 2023 In compressive sensing theory, the measurement matrix plays a crucial role in compressive observation of sparse signals. The bipolar Toeplitz measurement matrix constructed based on chaotic map has advantages such as generating fewer free elements and ...
S. Meng, C. Meng, C. Wang, Q. Wang
doaj
Linear Algebra and its Applications, 1992 Let be \(T_{ij}:=(2\pi\sigma^ 2)^{-1/2}\exp[-(i-j)^ 2/(2\sigma^ 2)]\) for \(i,j=0,1,\dots,N-1\). The authors prove that the matrix \(T:=[T_{ij}]\) is positive definite for all values of \(\sigma>0\) and \(N\geq 1\). Analytic expressions are given for the Cholesky decomposition \(T=LL^ T\), for the determinant of \(T\), and for the inverse \(T^{-1 ...
Pasupathy, J, Damodar, RA
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Finding the closest Toeplitz matrix [PDF]
Computational & Applied Mathematics, 2003 The constrained least-squares n × n-matrix problem where the feasibility set is the subspace of the Toeplitz matrices is analyzed. The general, the upper and lower triangular cases are solved by making use of the singular value decomposition. For the symmetric case, an algorithm based on the alternate projection method is proposed.
Eberle, Maria Gabriela +1 more
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Procrustes Problems for General, Triangular, and Symmetric Toeplitz Matrices
Journal of Applied Mathematics, 2013 The Toeplitz Procrustes problems are the least squares problems for the matrix equation AX=B over some Toeplitz matrix sets. In this paper the necessary and sufficient conditions are obtained about the existence and uniqueness for the solutions of the ...
Juan Yang, Yuan-bei Deng
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