Block Kronecker linearizations of matrix polynomials and their backward errors
Block Kronecker linearizations of matrix polynomials and their backward errors is a scholarly work, published in 2018 in ''Numerische Mathematik''. The main subjects of the publication include finite element method, block, matrix polynomial, pure mathematics, matrix pencil, Kronecker product, polynomial, matrix, algebra over a field, numerical method for ordinary differential equations, numerical linear algebra, pencil, Kronecker delta, discrete mathematics, algorithmic stability, applied mathematics, and mathematics. The authors introduce a new family of strong linearizations of matrix polynomials---which authors call "block Kronecker pencils"---and perform a backward stability analysis of complete polynomial eigenproblems.