38 citations · 46 across the 7 of their papers we have counts for
8 papers
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…
Universal evolutionary model for periodical species
Eric Goles, Ivan Slapničar, Marco A. Lardies
Real-world examples of periods of periodical organisms range from cicadas whose life-cycles are larger prime numbers, like 13 or 17, to bamboos whose periods are large multiples of…
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…
There are no cycles in the sequence
Ivan Slapnicar
In 1937, Lothar Collatz conjectured that the sequence generated by the rule for odd, for even, starting in any positive int…
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…
On the spectra of generalized Fibonacci and Fibonacci-like operators
Ivan Slapnicar
We analyze the spectra of generalized Fibonacci and Fibonacci-like operators in Banach space . Some of the results have application in population dynamics.