Speaker
Prof.
Ivan Slapničar
(University of Split, FESB)
Description
We present algorithms for solving the eigenvalue problem for the arrowhead and diagonal-plus-rank-$k$ matrices of quaternions. The algorithms use the Rayleigh Quotient Iteration with double shift combined with Wielandt's deflation technique. Since each eigenvector can be computed in $O(n)$ operations, the algorithms require $O(n^2)$ floating-point operations, $n$ being the order of the matrix. The algorithms are backward stable in the standard sense. The algorithms are elegantly implemented in the programming language Julia.
Primary authors
Dr
Thaniporn Chaysri
(University of Split, FESB)
Dr
Nevena Jakovčević Stor
(University of Split, FESB)
Prof.
Ivan Slapničar
(University of Split, FESB)
