Predavanje Nevene Jakovčević Stor

U petak 26.09. u 11.00 sati
dr.sc. Nevena Jakovčević Stor
s Fakulteta elektrotehnike, strojarstva i brodogradnje Sveučilišta u Splitu
će održati predavanje pod naslovom
Točan svojstveni rastav realnih simetričnih streličastih matrica, dijagonalnih matrica s modifikacijom ranga jedan i primjene.
Predavanje se održava u sklopu redovitog Znanstvenog kolokvija SMD-a. Pozivamo sve zainteresirane da dođu na ovo predavanje u navedenom terminu u predavaonicu 22 PMF-a u Splitu, Teslina 12.

Accurate eigenvalue decomposition of real symmetric arrowhead matrices and rank-one modi cations of diagonal matrices and applications
A novel class of forward stable algorithms for solving eigenvalue problems for nn real symmetric arrowhead matrices and rank-one modi cations of diagonal matrices is presented. The algorithms compute all eigenvalues and all components of the corresponding eigenvectors with high relative accuracy in O(n) operations per eigenvalue/eigenvector. The algorithms are based on a shift-and- invert approach. Only a single element of the inverse of the respective shifted matrix eventually needs to be computed with double the working precision. Each eigenvalue and the corresponding eigenvector can be computed separately, which makes the algorithms adaptable for parallel com- puting. Our results can also be applied to Hermitian matrices, singular value decompositions, and computing accurate zeros of polynomials. The methods can be used as a part of divide-and conquer methods for tridiagonal problems.

Posted in Znanstveni razred.