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Showing 2015 · math.NAShow all
3 papers · 2 filters
math.NA2015★ 17 cited
Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations
Larisa Beilina, Michel Cristofol, Kati Niinimäki
We consider the inverse problem of the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell's system in 3D with limited bou…
math.NA2015★ 33 cited
Newton's method in practice: finding all roots of polynomials of degree one million efficiently
Dierk Schleicher, Robin Stoll
We use Newton's method to find all roots of several polynomials in one complex variable of degree up to and exceeding one million and show that the method, applied to appropriately…
math.NA2015★ 10 cited
Maximum of the resolvent over matrices with given spectrum
Oleg Szehr, Rachid Zarouf
In numerical analysis it is often necessary to estimate the condition number and the norm of the resolvent of a given $n\tim…