Results 101 to 110 of about 17,645 (222)

Eigenvalues of complex tridiagonal matrices [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1971
Results of Arscott (1) and Jayne (3) on real matrices are generalized to obtain bounds for the real parts of the eigenvalues of certain complex tridiagonal matrices, and bounds for the imaginary parts of the eigenvalues of other tridiagonal matrices are given.
openaire   +2 more sources

Polynomial sequences generated by infinite Hessenberg matrices

open access: yesSpecial Matrices, 2017
We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
doaj   +1 more source

Block-encoding structured matrices for data input in quantum computing [PDF]

open access: yesQuantum
The cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via $\textit{block encoding}$ circuits, the input model for the quantum singular value transform and related ...
Christoph Sünderhauf   +2 more
doaj   +1 more source

On Generalized Jacobsthal and Jacobsthal-Lucas polynomials

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, Jh,n and jh,n, respectively, that consist on an extension of Jacobsthal's polynomials Jn(𝑥) and Jacobsthal-Lucas polynomials jn(𝑥).
Catarino Paula, Morgado Maria Luisa
doaj   +1 more source

Chain models and the spectra of tridiagonal k-Toeplitz matrices

open access: yes, 2017
Chain models can be represented by a tridiagonal matrix with periodic entries along its diagonals. Eigenmodes of open chains are represented by spectra of such tridiagonal $k$-Toeplitz matrices, where $k$ represents length of the repeated unit, allowing ...
M., Hariprasad, Venkatapathi, Murugesan
core  

Inverses of quasi-tridiagonal matrices

open access: yesLinear Algebra and its Applications, 1984
A blockmatrix \(T=[T_{ij}]\) with square blocks \(T_{ii}\) is quasi- triangular, if \(T_{ij}=0\) for \(| i-j|>1\). Explicit formulas for the inverses of quasi-triangular matrices are given. The inverses can be characterized by the quasi-triangle property: \(R=[R_{ij}]\) has the q.t.p. if all \(R_{ii}\) nonsingular and \(R_{ij}=R_{ik}R^{- 1}_{kk}R_{kj}\)
openaire   +2 more sources

Sensitivity Analysis of Eigenvalues for PDNT Toeplitz Matrices

open access: yesAxioms
This study focuses on a class of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, mainly exploring their eigenvalue sensitivity and inverse problems. By the explicit expressions for eigenvalues and eigenvectors of PDNT Toeplitz matrices,
Zhaolin Jiang   +3 more
doaj   +1 more source

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