Results 71 to 80 of about 22,900 (243)

A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers

Mathematics, 2019
In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit ...
Yunlan Wei, Yanpeng Zheng, Zhaolin Jiang, Sugoog Shon   +3 more
doaj   +1 more source

ERF: Energy Research and Forecasting Model

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 11, November 2025.
Abstract High performance computing (HPC) architectures have undergone rapid development in recent years. As a result, established software suites face an ever increasing challenge to remain performant on and portable across modern systems. Many of the widely adopted atmospheric modeling codes cannot fully (or in some cases, at all) leverage the ...
Aaron Lattanzi, Ann Almgren, Eliot Quon, Mahesh Natarajan, Branko Kosovic, Jeffrey Mirocha, Bruce Perry, David Wiersema, Donald Willcox, Xingqiu Yuan, Weiqun Zhang   +10 more
wiley   +1 more source

Sensitivity of Perron and Fiedler Eigenpairs to Structural Perturbations of a Network

Numerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.
ABSTRACT One can estimate the change of the Perron and Fiedler values for a connected network when the weight of an edge is perturbed by analyzing relevant entries of the Perron and Fiedler vectors. This is helpful for identifying edges whose weight perturbation causes the largest change in the Perron and Fiedler values.
Silvia Noschese, Lothar Reichel
wiley   +1 more source

MINRES-QLP: a Krylov subspace method for indefinite or singular symmetric systems

, 2011
CG, SYMMLQ, and MINRES are Krylov subspace methods for solving symmetric systems of linear equations. When these methods are applied to an incompatible system (that is, a singular symmetric least-squares problem), CG could break down and SYMMLQ's ...
Christopher C. Paige, Hadamard J., Michael A. Saunders, Ren W.-Q., Sou-Cheng T. Choi   +4 more
core   +3 more sources

Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix [PDF]

TURKISH JOURNAL OF MATHEMATICS, 2016
Summary: The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. In [Calcolo 45, No. 4, 217--233 (2008; Zbl 1175.15010)], \textit{W. Chu} and \textit{X. Wang} studied a generalization of the Sylvester matrix. In this paper, we
Kılıç, Emrah, Arıkan, Talha
openaire   +1 more source

On the impact of observation‐error correlations in data assimilation, with application to along‐track altimeter data

Quarterly Journal of the Royal Meteorological Society, Volume 151, Issue 772, October 2025 Part A.
We study the impact of observation‐error correlations in data assimilation using both a simple idealised system and a more realistic configuration. A spectral analysis of data assimilation in the idealised system allows us to gain insights on the effect of observation‐error correlations, which are then validated using the realistic configuration.
Olivier Goux, Anthony T. Weaver, Selime Gürol, Oliver Guillet, Andrea Piacentini   +4 more
wiley   +1 more source

Lanczos algorithm explained in statistics

Results in Applied Mathematics
The Lanczos algorithm is a well-known three-term recurrence that can be used to generate an orthogonal basis for a Krylov subspace derived by a symmetric matrix.
Qiang Niu, Mianmian Chen, Jinheng Wu
doaj   +1 more source

A Test Matrix for an Inverse Eigenvalue Problem

Journal of Applied Mathematics, 2014
We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2.
G. M. L. Gladwell, T. H. Jones, N. B. Willms   +2 more
doaj   +1 more source

LMARSpy: A GPU‐Ready Nonhydrostatic Dynamical Core With a Sharpness‐Preserving Monotonicity Limiter and a Conservative Vertical Implicit Solver

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 10, October 2025.
Abstract Global numerical modeling is advancing into the era of kilometer‐scale, non‐hydrostatic simulations, while heterogeneous computing emerges as a pivotal trend in high‐performance computing (HPC). As a strong candidate for next‐generation global kilometer‐scale general circulation models, the A‐grid dynamical core based on the Low Mach number ...
Weikang Zhang, Xi Chen
wiley   +1 more source

Real eigenvalue analysis in NASTRAN by the tridiagonal reduction (FEER) method [PDF]

, 1976
Implementation of the tridiagonal reduction method for real eigenvalue extraction in structural vibration and buckling problems is described. The basic concepts underlying the method are summarized and special features, such as the computation of error ...
Flanagen, P. F., Newman, M., Rogers, J. L., Jr.   +2 more
core   +1 more source