GR decompositions and their relations to Cholesky‐like factorizations-Reference-Cited by-同舟云学术

GR decompositions and their relations to Cholesky‐like factorizations

Published:2021-01 Issue:1 Volume:20 Page:
ISSN:1617-7061
Container-title:PAMM
language:en
Short-container-title:Proc. Appl. Math. Mech.

Author:

Benner Peter¹,Penke Carolin¹

Affiliation:

1. Max Planck Institute for Dynamics of Complex Technical Systems: Computational Methods in Systems and Control Theory Sandtorstr. 1 39106Magdeburg

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/pamm.202000065

Reference11 articles.

1. N. Higham D. Mackey N. Mackey and F. Tisseur. Functions preserving matrix groups and iterations for the matrix square root. SIAM Journal on Matrix Analysis and Applications 26(3):849–877 2005.

2. N. Higham C. Mehl and F. Tisseur. The canonical generalized polar decomposition. SIAM Journal on Matrix Analysis and Applications 31(4):2163–2180 2010.

3. D. Watkins. The Matrix Eigenvalue Problem. Society for Industrial and Applied Mathematics 2007.

4. Angelika Bunse-Gerstner. Matrix factorizations for symplectic QR-like methods. Linear Algebra and its Applications 83:49–77 1986.

5. Yamamoto Y. Y. Nakatsukasa Y. Yanagisawa and T. Fukaya. Roundoff error analysis of the Cholesky QR2 algorithm. Electronic Transactions on Numerical Analysis 44:306–326 2015.

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