Diagonalization of complex symmetric matrices: Generalized Householder reflections, iterative deflation and implicit shifts

We describe a matrix diagonalization algorithm for complex symmetric (not Hermitian) matrices, A̲=A̲ T , which is based on a two-step algorithm involving generalized Householder reflections based on the indefinite inner product 〈u̲,v̲〉 ∗ =∑ i u i v i . This inner product is linear in both arguments...

Full description

Bibliographic Details
Main Authors: Noble, J, Lubasch, M, Stevens, J, Jentschura, U
Format: Journal article
Published: Elsevier 2017