[图书][B] A Journey through the History of Numerical Linear Algebra
C Brezinski, G Meurant, M Redivo-Zaglia - 2022 - SIAM
A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …
[图书][B] Core-chasing algorithms for the eigenvalue problem
Core-Chasing Algorithms for the Eigenvalue Problem : Back Matter Page 1 Bibliography [1] GS
Ammar, WB Gragg, and L. Reichel. On the eigenproblem for orthogonal matrices. In Proceedings …
Ammar, WB Gragg, and L. Reichel. On the eigenproblem for orthogonal matrices. In Proceedings …
Fast and backward stable computation of roots of polynomials, Part II: Backward error analysis; companion matrix and companion pencil
This work is a continuation of work by JL Aurentz, T. Mach, R. Vandebril, and DS Watkins, J.
Matrix Anal. Appl., 36 (2015), pp. 942--973. In that paper we introduced a companion QR …
Matrix Anal. Appl., 36 (2015), pp. 942--973. In that paper we introduced a companion QR …
A guided genetic algorithm for diagonalization of symmetric and Hermitian matrices
Y Villacampa, FJ Navarro-González… - Applied Soft …, 2019 - Elsevier
The eigenvalues and eigenvectors of a matrix have many applications in engineering and
science, such us studying and solving structural problems in both the treatment of signal or …
science, such us studying and solving structural problems in both the treatment of signal or …
[HTML][HTML] Sampling the eigenvalues of random orthogonal and unitary matrices
We develop an efficient algorithm for sampling the eigenvalues of random matrices
distributed according to the Haar measure over the orthogonal or unitary group. Our …
distributed according to the Haar measure over the orthogonal or unitary group. Our …
Generalized averaged Szegő quadrature rules
C Jagels, L Reichel, T Tang - Journal of Computational and Applied …, 2017 - Elsevier
Szegő quadrature rules are commonly applied to integrate periodic functions on the unit
circle in the complex plane. However, often it is difficult to determine the quadrature error …
circle in the complex plane. However, often it is difficult to determine the quadrature error …
A simple, randomized algorithm for diagonalizing normal matrices
H He, D Kressner - arXiv preprint arXiv:2405.18399, 2024 - arxiv.org
arXiv:2405.18399v1 [math.NA] 28 May 2024 Page 1 arXiv:2405.18399v1 [math.NA] 28 May
2024 A simple, randomized algorithm for diagonalizing normal matrices∗ Haoze He† Daniel …
2024 A simple, randomized algorithm for diagonalizing normal matrices∗ Haoze He† Daniel …
Factoring block Fiedler companion matrices
When Fiedler published his “A note on Companion matrices” in 2003 on Linear Algebra and
its Applications, he could not have foreseen the significance of this elegant factorization of a …
its Applications, he could not have foreseen the significance of this elegant factorization of a …
When is a matrix unitary or Hermitian plus low rank?
Hermitian and unitary matrices are two representatives of the class of normal matrices
whose full eigenvalue decomposition can be stably computed in quadratic computing …
whose full eigenvalue decomposition can be stably computed in quadratic computing …
Orthogonal rational functions on the unit circle with prescribed poles not on the unit circle
A Bultheel, R Cruz-Barroso, A Lasarow - SIGMA. Symmetry, Integrability …, 2017 - emis.de
Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials
(poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we …
(poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we …