Results 11 to 20 of about 4,117 (168)
Combined Matrix of a Tridiagonal Toeplitz Matrix
AxiomsIn this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory. In particular, given a real tridiagonal Toeplitz matrix of order n, the characterization of its combined matrix as a bisymmetric and doubly quasi-stochastic matrix is studied.
Begoña Cantó +2 more
openaire +4 more sources
Is every matrix similar to a Toeplitz matrix?
Linear Algebra and its Applications, 1999 A Toeplitz canonical form for nonderogatory matrices is established. It is proved that every \(n\times n\) complex nonderogatory matrix is similar to a unique unit upper Hessenberg Toeplitz matrix. The answer to the question whether every matrix is similar to some Toeplitz matrix is yes for \(4 \times 4\) and smaller matrices.
Mackey, D.Steven +2 more
openaire +3 more sources
On the Toeplitz embedding of an arbitrary matrix
Linear Algebra and its Applications, 1983 In the first part of the paper the authors give a thorough analysis of the various polynomials associated with the inverse of the upper left principal minors of a block Toeplitz matrix. This provides a unified framework for deriving the basic formulae of the Levinson and the Trench algorithms for inverting block Toeplitz matrices; in case of ordinary ...
Delsarte, P., Genin, Y., Kamp, Y.
openaire +2 more sources
A note on the stability of Toeplitz matrix inversion formulas
Applied Mathematics Letters, 2004 It is shown that the algorithms of \textit{A. Ben-Artzi} and \textit{T. Shalom} [Linear Algebra Appl. 75, 173--192 (1986; Zbl 0586.15005)], \textit{G. Labahn} and \textit{T. Shalom} [ibid. 175, 143--158 (1992; Zbl 0760.15005)] and \textit{M. K. Ng, K. Rost} and \textit{Y.-W. Wen} [ibid. 348, No.
You-Wei Wen +3 more
openaire +5 more sources
Is every matrix similar to a Toeplitz matrix? [PDF]
, 2022 [en] The theory of matrices is a very important field in the world of mathematics, which plays a central role in the study of a large variety of areas in pure and applied mathematics. Is is one of the first topics studied in the degree. I remember when I was studying the first course that I got fascinated by the fact that you can transform a matrix ...
Ferrer Pascual, Maria
core +3 more sources
Coil Sketching for Fast and Efficient 4D Lung MRI Reconstruction. [PDF]
Magn Reson MedABSTRACT Purpose To develop and evaluate a memory‐efficient and accelerated reconstruction framework for respiratory‐resolved 4D lung MRI using coil sketching and Toeplitz approximation, enabling high‐quality motion‐compensated low‐rank (MoCo‐LR) reconstructions on clinically accessible GPU hardware.
Plummer JW +7 more
europepmc +2 more sources
An iterative algorithm for computing the cycle mean of a Toeplitz matrix in special form [PDF]
, 2013 summary:The paper presents an iterative algorithm for computing the maximum cycle mean (or eigenvalue) of $n\times n$ triangular Toeplitz matrix in max-plus algebra.
Szabó, Peter
core +1 more source
Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
core +1 more source
Nonnegative Matrix Factorization with Toeplitz Penalty
Journal of Informatics and Mathematical Sciences, 2018 Nonnegative Matrix Factorization (NMF) is an unsupervised learning algorithm that produces a linear, parts-based approximation of a data matrix. NMF constructs a nonnegative low rank basis matrix and a nonnegative low rank matrix of weights which, when multiplied together, approximate the data matrix of interest using some cost function.
Matthew Corsetti, Ernest Fokoué
openaire +3 more sources
Matrix interpretation of multiple orthogonality
, 2010 In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
Branquinho, Amílcar +2 more
core +1 more source