Results 1 to 10 of about 689 (184)
Generalized Data–Driven Predictive Control: Merging Subspace and Hankel Predictors
Mathematics, 2023 Data–driven predictive control (DPC) is becoming an attractive alternative to model predictive control as it requires less system knowledge for implementation and reliable data is increasingly available in smart engineering systems.
M. Lazar, P. C. N. Verheijen
doaj +1 more source
Analytical solutions to some generalized and polynomial eigenvalue problems
Special Matrices, 2021 It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
doaj +1 more source
Stable factorization for Hankel and Hankel‐like matrices [PDF]
Numerical Linear Algebra with Applications, 2001 AbstractThis paper gives fast O(n2) algorithms for the factorization of positive‐definite and indefinite Hankel matrices. The algorithms are based on the concept of displacement structure and are valid for the more general class of Hankel‐like matrices. The positive‐definite algorithm is proven to be backward stable.
Olshevsky, Vadim, Stewart, Michael
openaire +2 more sources
Mixed Alternating Projections with Application to Hankel Low-Rank Approximation
Algorithms, 2022 The method of alternating projections for extracting low-rank signals is considered. The problem of decreasing the computational costs while keeping the estimation accuracy is analyzed.
Nikita Zvonarev, Nina Golyandina
doaj +1 more source
On the spectral properties of real antitridiagonal Hankel matrices
Special Matrices, 2022 In this article, we express the eigenvalues of real antitridiagonal Hankel matrices as the zeros of given rational functions. We still derive eigenvectors for these structured matrices at the expense of prescribed eigenvalues.
Lita da Silva João
doaj +1 more source
On some identities and Hankel matrices norms involving new defined generalized modified pell numbers
Journal of New Results in Science, 2021 The aim of this paper is to introduce a generalization of Modified Pell numbers. Some identities about this new sequence are obtained and also investigated some relationships with another sequence.
Gül Özkan Kızılırmak
doaj +1 more source
Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices
Special Matrices, 2015 Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices.
Abdikalykov A.K. +2 more
doaj +1 more source
Catalan Transform of k-Balancing Sequences
International Journal of Mathematics and Mathematical Sciences, 2021 In this work, the Catalan transformation (CT) of k-balancing sequences, Bk,nn≥0, is introduced. Furthermore, the obtained Catalan transformation CBk,nn≥0 was shown as the product of lower triangular matrices called Catalan matrices and the matrix of k ...
Asim Patra, Mohammed K. A. Kaabar
doaj +1 more source
Determinants of Hankel Matrices
Journal of Functional Analysis, 2001 18 pages, LaTeX ...
Basor, Estelle L. +2 more
openaire +3 more sources
Companion matrices and their relations to Toeplitz and Hankel matrices
Special Matrices, 2015 In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing ...
Luo Yousong, Hill Robin
doaj +1 more source