Results 91 to 100 of about 442,498 (206)

The c-numerical range of tridiagonal matrices

Linear Algebra and its Applications, 2001
The authors give several conditions for the \(c\)-numerical range \(W_c(A)\) of a tridiagonal matrix \(A\in M_n({\mathbb C})\) with \(0\) main diagonal to be an elliptic disc; \(W_c(A)=\{\sum c_jx_j^*Ax_j\): \(\{x_1,x_2,\dots,x_n\}\) is an orthonormal basis of~\({\mathbb C}^n\}\).
Chien, Mao-Ting, Nakazato, Hiroshi
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Approximating Eigenvalues of a Class of Perturbed Tridiagonal Systems

Mathematics
We study a class of perturbed tridiagonal problems in the form of a rank-one update of a symmetric tridiagonal Toeplitz matrix. We derive computable formulas for up to eighth-order polynomial approximations or closed formulas for quartic approximation ...
Christos Chorianopoulos, Ioannis Th. Famelis   +1 more
doaj   +1 more source

Polynomial sequences generated by infinite Hessenberg matrices

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

Quantum
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, Earl Campbell, Joan Camps   +2 more
doaj   +1 more source

Estimates for the inverse elements of tridiagonal matrices

, 2006
In this work, new upper and lower bounds for the inverse entries of the tridiagonal matrices are presented. The bounds improve the bounds in D. Kershaw [Inequalities on the elements of the inverse of a certain tridiagonal matrix, Math. Comput.
Liu, Xiao-Qin, Fu, Ying-Ding, Huang, Ting-Zhu   +2 more
core   +1 more source

On Generalized Jacobsthal and Jacobsthal-Lucas polynomials

Analele 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
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Spectra of Tridiagonal Matrices

, 2017
20 pages, 5 ...
Veerman, J. J. P., Hammond, D. K., Baldivieso, Pablo E.   +2 more
openaire   +2 more sources

ON THE SECOND ORDER LINEAR RECURRENCES BY TRIDIAGONAL MATRICES

, 2009
In this paper, we consider the relationships between the second order linear recurrences and the permanents and determinants of tridiagonal ...
Tasci, D., Kilic, E.
core   +2 more sources

Matrix Transformations and Quasi-Newton Methods

International Journal of Mathematics and Mathematical Sciences, 2007
We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms sξ, sξ∘, sξ(c), or lp(ξ).
Boubakeur Benahmed, Bruno de Malafosse, Adnan Yassine   +2 more
doaj   +1 more source

The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order

Kuwait Journal of Science, 2019
In this paper we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order at the expense of Chebyshev polynomials giving also a representation of its eigenvectors.
João Lita da Silva
doaj