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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 3 of 3 (0.07 seconds)
1

The Matrix Sign Function Method and the Computation of Invariant Subspaces

Byers, R., He, C., Mehrmann, V. 30 October 1998 (has links) (PDF)
A perturbation analysis shows that if a numerically stable procedure is used to compute the matrix sign function, then it is competitive with conventional methods for computing invariant subspaces. Stability analysis of the Newton iteration improves an earlier result of Byers and confirms that ill-conditioned iterates may cause numerical instability. Numerical examples demonstrate the theoretical results.
matrix sign function
invariant subspaces
stability
Newton
iteration
numerical examples
MSC 65F30
MSC 65F15
ddc:510
2

The Matrix Sign Function Method and the Computation of Invariant Subspaces

Byers, R., He, C., Mehrmann, V. 30 October 1998 (has links)
A perturbation analysis shows that if a numerically stable procedure is used to compute the matrix sign function, then it is competitive with conventional methods for computing invariant subspaces. Stability analysis of the Newton iteration improves an earlier result of Byers and confirms that ill-conditioned iterates may cause numerical instability. Numerical examples demonstrate the theoretical results.
info:eu-repo/classification/ddc/510
ddc:510
matrix sign function
invariant subspaces
stability
Newton
iteration
numerical examples
MSC 65F30
MSC 65F15
3

Matematické metody a úlohy v astronomii / Mathematical Methods and Exercises in Astronomy

BROM, Jiří January 2016 (has links)
The aim of this thesis is to create collections of examples for the subject Astronomy taught for students of pedagogical faculties, studying this discipline as a part of physics courses. Due to very different mathematical knowledge of students I have chosen typical and not much difficult examples oriented to several branches of astronomy. Each part of examples begins with a self-contained theoretical introduction. The difficulty rises gradually from trivial to more complicated examples. The examples are mainly focused on motions in radial gravitational fields.

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