38 citations · 46 across the 7 of their papers we have counts for
5 papers · 1 filter
Fast multiplication, determinants, and inverses of arrowhead and diagonal-plus-rank-one matrices over associative fields
Nevena Jakovcevic Stor, Ivan Slapnicar
The article considers arrowhead and diagonal-plus-rank-one matrices in F^(nxn) where F in R,C or H. H is a non-commutative field of quaternions. We give unified formulas for fast m…
Fast computation of optimal damping parameters for linear vibrational systems
N. Jakovcevic Stor, I. Slapnicar, Z. Tomljanovic
We formulate the quadratic eigenvalue problem underlying the mathematical model of a linear vibrational system as an eigenvalue problem of a diagonal-plus-low-rank matrix . The…
Forward stable computation of roots of real polynomials with only real distinct roots
Nevena Jakovcevic Stor, Ivan Slapnicar
As showed in (Fiedler, 1990), any polynomial can be expressed as a characteristic polynomial of a complex symmetric arrowhead matrix. This expression is not unique. If the polynomi…
Forward stable eigenvalue decomposition of rank-one modifications of diagonal matrices
Nevena Jakovcevic Stor, Ivan Slapnicar, Jesse L. Barlow
We present a new algorithm for solving an eigenvalue problem for a real symmetric matrix which is a rank-one modification of a diagonal matrix. The algorithm computes each eigenval…
Accurate eigenvalue decomposition of arrowhead matrices and applications
Nevena Jakovcevic Stor, Ivan Slapnicar, Jesse L. Barlow
We present a new algorithm for solving an eigenvalue problem for a real symmetric arrowhead matrix. The algorithm computes all eigenvalues and all components of the corresponding e…