Results 81 to 90 of about 17,645 (222)

Non-splitting Tridiagonalization of Complex Symmetric Matrices [PDF]

, 2009
A non-splitting method for tridiagonalizing complex symmetric (non-Hermitian) matrices is developed and analyzed. The main objective is to exploit the purely structural symmetry in terms of runtime performance. Based on the analytical derivation of the method, Fortran implementations of a blocked variant are developed and extensively evaluated ...
Gansterer, Wilfried, Gruber, Andreas, Pacher, Christoph   +2 more
openaire   +1 more source

A Critical Review of Pole Clustering Techniques: Common Pitfalls, Extension to MIMO and New Enhanced Variant of the Cuckoo Search Algorithm

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2501-2533, November/December 2025.
Enhanced Cuckoo Search for Model Order Reduction ABSTRACT This article presents a critical review of classical and modern pole clustering techniques for model order reduction in high‐order systems. It highlights key limitations and common pitfalls encountered in traditional approaches, especially when extended to Multi‐Input Multi‐Output (MIMO) systems.
Kamel Ben Slimane, Zied Tmar, Mongi Besbes   +2 more
wiley   +1 more source

Explicit inverses of some tridiagonal matrices [PDF]

, 1972
We give explicit inverses of tridiagonal 2-Toeplitz and 3-Toeplitz matrices which generalize some well-known results concerning the inverse of a tridiagonal Toeplitz matrix.http://www.sciencedirect.com/science/article/B6V0R-42KDHCJ-2/1 ...
Fonseca, C. M. da, Petronilho, J.
core   +2 more sources

Inverse tridiagonal Z-matrices

, 1998
In this paper, we consider matrices whose inverses are tridiagonal Z--matrices. Based on a characterization of symmetric tridiagonal matrices by Gantmacher and Krein, we show that a matrix is the inverse of a tridiagonal Z--matrix if and only if, up to a positive scaling of the rows, it is the Hadamard product of a so called weak type $\D$ matrix and a
McDonald, J. J., Nabben, R., Neumann, M., Schneider, H., Tsatsomeros, M.   +4 more
openaire   +2 more sources

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

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  

Numeric and symbolic evaluation of the pfaffian of general skew-symmetric matrices

, 2010
Evaluation of pfaffians arises in a number of physics applications, and for some of them a direct method is preferable to using the determinantal formula. We discuss two methods for the numerical evaluation of pfaffians.
Aasen, Bajdich, Bauer, Berezin, Bunch, C. González-Ballestero, Caianiello, Dongarra, G.F. Bertsch, Golub, Householder, Klauder, L.M. Robledo, Lang, Neergard, Ohnuki, Robledo, Rubow, Stéphan, Thomas   +19 more
core   +1 more source

On tridiagonalization of matrices

Linear Algebra and its Applications, 1988
A square matrix \(B=(b_{ij})\) is called tridiagonal if \(b_{ij}=0\) for \(| i-j| >1\). A complex \(n\times n\) square matrix is called tridiagonalizable if it is unitarily similar to a tridiagonal matrix. The author presents a proof due to J. L. Noakes of the result due to \textit{B. Sturmfels} [ibid.
openaire   +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

On the decay of the inverse of matrices that are sum of Kronecker products

, 2013
Decay patterns of matrix inverses have recently attracted considerable interest, due to their relevance in numerical analysis, and in applications requiring matrix function approximations.
Canuto, Claudio, Simoncini, Valeria, Verani, Marco   +2 more
core   +1 more source