Abstract
The Continuation of Invariant Subspaces (CIS) algorithm produces a smoothly varying basis for an invariant subspace ℛ(s) of a parameter-dependent matrix A(s). In the case when A(s) is the Jacobian matrix for a system that comes from a spatial discretization of a partial differential equation, it will typically be large and sparse. CL_MATCONT is a user-friendly MATLAB package for the study of dynamical systems and their bifurcations. We incorporate the CIS algorithm into CL_MATCONT to extend its functionality to large scale bifurcation computations via subspace reduction. © Springer-Verlag Berlin Heidelberg 2005.
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CITATION STYLE
Bindel, D. S., Demmel, J. W., Friedman, M. J., Govaerts, W. J. F., & Kuznetsov, Y. A. (2005). Bifurcation analysis of large equilibrium systems in MATLAB. In Lecture Notes in Computer Science (Vol. 3514, pp. 50–57). Springer Verlag. https://doi.org/10.1007/11428831_7
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