Toeplitz matrices arise in many different theoretical and applicative fields, in the mathematical modeling of all the problems where some sort of shift invariance occurs in terms of space or of time.

many thanks for this wonderful project! Is there any possible way to construct a toeplitz matrix inside a jit-able differentiable function? My goal is to fit a large matrix with a product of a ...

Abstract: This paper is concerned with the inverse eigenvalue problems for symmetric Toeplitz matrices. A kind of inverse problem for constructing a real symmetric Toeplitz matrix from the given k ...

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 ...

Mathematics of Computation, Vol. 50, No. 182 (Apr., 1988), pp. 431-448 (18 pages) Let $A$ be an $n \times n$ banded block Toeplitz matrix of bandwidth $k$ with $m ...

A Toeplitz (or diagonal-constant) matrix is a matrix in which each descending diagonal from left to right is constant, i.e., all elements in a diagonal are the same. Given a rectangular matrix mat, ...

Abstract: This paper presents an integer preserving (IP) version of the Levinson algorithm to solve a normal set of equations for a Hermitian Toeplitz matrix with any singularity profile. The IP ...

Mathematics of Computation, Vol. 72, No. 243 (Jul., 2003), pp. 1329-1348 (20 pages) This paper is concerned with the union $sp_\Omega^{(j,k)} T_{n}(a)$ of all ...

Random walks serve as fundamental models in the study of stochastic processes, simulating phenomena ranging from molecular diffusion to queuing networks and financial systems. Their inherent ...