In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to...

edition, 1963) Calderón–Toeplitz operator Silverman–Toeplitz theorem Hellinger–Toeplitz theorem Toeplitz algebra Toeplitz matrix Inscribed square problem...

the right relative to the preceding row. It is a particular kind of Toeplitz matrix. In numerical analysis, circulant matrices are important because they...

Look up Toeplitz matrix in Wiktionary, the free dictionary. Toeplitz or Töplitz may refer to: Töplitz, the German name of Toplița, a city in Romania Toplița...

{\displaystyle A\mathbf {x} .} If M {\displaystyle M} is a symmetric Toeplitz matrix, i.e. the entries m i j {\displaystyle m_{ij}} are given as a function...

The Toeplitz Hash Algorithm describes hash functions that compute hash values through matrix multiplication of the key with a suitable Toeplitz matrix. The...

block Toeplitz matrix is another special block matrix, which contains blocks that are repeated down the diagonals of the matrix, as a Toeplitz matrix has...

n} Hankel matrix, then H = T J n {\displaystyle H=TJ_{n}} where T {\displaystyle T} is an m × n {\displaystyle m\times n} Toeplitz matrix. If T {\displaystyle...

written as sum of a symmetric and a skew-symmetric matrix. This decomposition is known as the Toeplitz decomposition. Let Mat n {\displaystyle {\mbox{Mat}}_{n}}...

mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in series summability theory characterizing matrix summability methods...

algebra to recursively calculate the solution to an equation involving a Toeplitz matrix. The algorithm runs in Θ(n2) time, which is a strong improvement over...

Multiplication operator Tridiagonal matrix Toeplitz matrix Toral Lie algebra Circulant matrix Proof: given the elementary matrix e i j {\displaystyle e_{ij}}...

arbitrary square matrix C can be written as the sum of a Hermitian matrix A and a skew-Hermitian matrix B. This is known as the Toeplitz decomposition of...

restriction. A bounded operator on H 2 {\displaystyle H^{2}} is Toeplitz if and only if its matrix representation, in the basis { z n , z ∈ C , n ≥ 0 } {\displaystyle...

correlation Titchmarsh convolution theorem Toeplitz matrix (convolutions can be considered a Toeplitz matrix operation where each row is a shifted copy...

{d_{k}}}}+B\right)V\end{aligned}}} where B {\displaystyle B} is a Toeplitz matrix, that is, B i , j = B i ′ , j ′ {\displaystyle B_{i,j}=B_{i',j'}} whenever...

elements equal or Toeplitz matrices and for the general case as well. In general, the inverse of a tridiagonal matrix is a semiseparable matrix and vice versa...

well. With a complex signal, the matrix to be solved is a Hermitian Toeplitz matrix, rather than symmetric Toeplitz matrix. For simplicity, the following...

of the matrix (one usually deals with square matrices, though all algorithms can be easily generalized to rectangular matrices). Toeplitz matrix Fay's...

In applied mathematics, the transfer matrix is a formulation in terms of a block-Toeplitz matrix of the two-scale equation, which characterizes refinable...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal...

Triangular matrix Tridiagonal matrix Block matrix Sparse matrix Hessenberg matrix Hessian matrix Vandermonde matrix Stochastic matrix Toeplitz matrix Circulant...

k1 = n−1, k2 = 0 one obtains a lower triangular matrix. Upper and lower Hessenberg matrices Toeplitz matrices when bandwidth is limited. Block diagonal...

the data. However, by formulating the problem as the solution of a Toeplitz matrix and using Levinson recursion, we can relatively quickly estimate a...

model fitting (such as the nonlinear problem of fitting to a Toeplitz or block-Toeplitz matrix) and order estimation. Despite nearly 40 years of existence...

by Wiener while others have used Toeplitz matrix advances to speed up factor calculations. Consider polynomial matrix P ( t ) = [ p 11 ( t ) … p 1 n (...

{\displaystyle \mathbf {R} } is a symmetric, p × p {\displaystyle p\times p} Toeplitz matrix with elements r i j = R ( i − j ) , 0 ≤ i , j < p {\displaystyle r_{ij}=R(i-j)...

and which represents a symmetric, tridiagonal matrix. For an equidistant grid one gets a Toeplitz matrix. The 2D case shows all the characteristics of...

net, the Schönhage–Strassen algorithm, Faltings's theorem and the Toeplitz matrix are all named after University of Bonn mathematicians. University of...