A standard approach to calculate the roots of a univariate polynomial is compute eigenvalues an associated confederate matrix instead, such as, for instance, companion or comrade matrix. The can be computed by Francis's QR algorithm. Unfortunately, even though algorithm provably backward stable, mapping errors back original coefficients still lead huge errors. However, latter statement assumes ...

In the framework of Polynomial Eigenvalue Problems (PEPs), most matrix polynomials arising in applications are structured (namely, (skew-)symmetric, (skew-)Hermitian, (anti-)palindromic, or alternating). The standard way to solve PEPs is by means linearizations. frequently used linearizations belong general constructions, valid for all a fixed degree, known as companion It well known, however, ...

Reflection transformation imaging offers a powerful new method of documenting and communicating numismatic cultural heritage information. The challenges of documenting numismatic material will be examined along with the limitations of traditional documentary techniques. Previous uses of structured light scanning and PTMs in numismatic documentation are reviewed and evaluated. A novel, low cost ...