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FOCM
2011
175views more  FOCM 2011»
12 years 12 months ago
Convergence of Fixed-Point Continuation Algorithms for Matrix Rank Minimization
The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding etc. As this problem is NP-hard in ...
Donald Goldfarb, Shiqian Ma
FOCM
2011
117views more  FOCM 2011»
12 years 12 months ago
Accuracy and Stability of Computing High-order Derivatives of Analytic Functions by Cauchy Integrals
Abstract High-order derivatives of analytic functions are expressible as Cauchy integrals over circular contours, which can very effectively be approximated, e.g., by trapezoidal s...
Folkmar Bornemann
FOCM
2011
90views more  FOCM 2011»
12 years 8 months ago
Hamiltonian Interpolation of Splitting Approximations for Nonlinear PDEs
We consider a wide class of semi linear Hamiltonian partial differential equations and their approximation by time splitting methods. We assume that the nonlinearity is polynomia...
Erwan Faou, Benoît Grebert
FOCM
2011
188views more  FOCM 2011»
12 years 8 months ago
Compressive Wave Computation
This paper considers large-scale simulations of wave propagation phenomena. We argue that it is possible to accurately compute a wavefield by decomposing it onto a largely incomp...
Laurent Demanet, Gabriel Peyré