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Bifurcations of Relaxation Oscillations near Folded Saddles
Folded Saddles Relaxation Oscillations
2015/8/25
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems
that contain both slow and fast segments. The slow-fast decomposition of these orbits is
de ned in the singular l...
The Power of Convex Relaxation:Near-Optimal Matrix Completion
Matrix completion low-rank matrices semidefinite programming duality in optimization nuclear norm minimization random matrices and techniques from random matrix theory free probability
2015/6/17
This paper is concerned with the problem of recovering an unknown matrix from a small fraction of its entries. This is known as the matrix completion problem, and comes up in a great number of applica...
Diagonalization-free implementation of spin relaxation theory for large spin systems
NMR EPR relaxation simulation spin dynamics
2011/3/1
The Liouville space spin relaxation theory equations are reformulated in such a way as to avoid the computationally expensive Hamiltonian diagonalization step, replacing it by numerical evaluation of ...
