Results 111 to 120 of about 475,064 (272)

A new Legendre polynomial approach for computing the matrix exponential action on a vector

PAMM, Volume 24, Issue 4, December 2024.
Abstract We propose a new approach for computing the action of the matrix exponential over a vector. The approach is based on a Legendre polynomial expansion in the framework of the so‐called ★$\star$‐product solution to ODEs. The new approach can be combined with Krylov subspace methods.
Stefano Pozza, Shazma Zahid
wiley   +1 more source

Perturbation bounds of eigenvalues of Hermitian matrices with block structures

, 2010
We derive new perturbation bounds for eigenvalues of Hermitian matrices with block structures. The structures we consider range from a standard 2-by-2 block form to block tridiagonal and tridigaonal forms.
Nakatsukasa, Yuji
core  

Optimization of approximate maps for linear systems arising in discretized PDEs

PAMM, Volume 24, Issue 4, December 2024.
Abstract Generally, discretization of partial differential equations (PDEs) creates a sequence of linear systems Akxk=bk,k=0,1,2,…,N$A_k x_k = b_k, k = 0, 1, 2, \ldots, N$ with well‐known and structured sparsity patterns. Preconditioners are often necessary to achieve fast convergence when solving these linear systems using iterative solvers.
Rishad Islam, Arielle Carr, Colin Jacobs
wiley   +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
doaj   +1 more source

The invertibility of a class of tridiagonal matrices

Applied Mathematics Letters, 1992
In this paper we study the invertibility of a class of tridiagonal matrices, the diagonal elements of which are complex values. A matrix of this class may arise in the numerical solution of initial value problems using boundary value techniques.
openaire   +3 more sources

Sampling expansions associated with quaternion difference equations

, 2020
Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By employing the parameterized sequence as the kernel of discrete transform, we
Cheng, Dong, Kou, Kit Ian, Xia, Yonghui, Xu, Junfeng   +3 more
core  

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
doaj   +1 more source

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

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

Spectral properties of certain tridiagonal matrices

Linear Algebra and its Applications, 2012
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Álvarez Nodarse, Renato, Soares Petronilho, José Carlos, Quintero, Niurka R.   +2 more
openaire   +3 more sources