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math.NA2021★ 1 cited
A Provably Componentwise Backward Stable QR Algorithm for the Diagonalization of Colleague Matrices
Kirill Serkh, Vladimir Rokhlin
The roots of a monic polynomial expressed in a Chebyshev basis are known to be the eigenvalues of the so-called colleague matrix, which is a Hessenberg matrix that is the sum of a…
math.NA2020★ 1 cited
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential
Jeremy Hoskins, Vladimir Rokhlin
In the present paper we describe a simple black box algorithm for efficiently and accurately solving scattering problems related to the scattering of time-harmonic waves from radia…