A continuous approximation to the generalized Schur decomposition
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In this article, the problem of approximating the generalized Schur decomposition of a matrix pencil A − λ B by a family of differentiable orthogonal transformations is considered and it is shown that when B is nonsingular this approach is feasible and can be expressed as an autonomous differential system.About:
This article is published in Linear Algebra and its Applications.The article was published on 1986-06-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Schur decomposition & Symmetric matrix.read more
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Introduction to Numerical Continuation Methods
Eugene L. Allgower,Kurt Georg +1 more
TL;DR: The Numerical Continuation Methods for Nonlinear Systems of Equations (NCME) as discussed by the authors is an excellent introduction to numerical continuuation methods for solving nonlinear systems of equations.
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Continuation and path following
Eugene L. Allgower,Kurt Georg +1 more
TL;DR: The main ideas of path following by predictor–corrector and piecewise-linear methods, and their application in the direction of homotopy methods and nonlinear eigenvalue problems are reviewed.
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Linear algebra algorithms as dynamical systems
TL;DR: The notion of dynamical systems as a special realization process for problems arising from the field of linear algebra is exploited to afford unified and fundamental insights into the structure and behaviour of existing discrete methods.
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Nonlinear Poisson Structures and r-Matrices
Luen Chau Li,Serge Parmentier +1 more
TL;DR: In this paper, the authors introduce quadratic Poisson structures on Lie groups associated with a class of solutions of the modified Yang-Baxter equation and apply them to the Hamiltonian description of Lax systems.
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The Symmetric Eigenvalue Problem.
TL;DR: Parlett as discussed by the authors presents mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few.
Book
The Symmetric Eigenvalue Problem
TL;DR: Parlett as discussed by the authors presents mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few.