3 papers
math.NA2025
Recursive vectorized computation of the vector -norm
Vedran Novaković
Recursive algorithms for computing the Frobenius norm of a real array are proposed, based on hypot, a hypotenuse function. Comparing their relative accuracy bounds with those of th…
math.NA2024
Arithmetical enhancements of the Kogbetliantz method for the SVD of order two
Vedran Novaković
An enhanced Kogbetliantz method for the singular value decomposition (SVD) of general matrices of order two is proposed. The method consists of three phases: an almost exact presca…
math.NA2023
Accurate complex Jacobi rotations
Vedran Novaković
This note shows how to compute, to high relative accuracy under mild assumptions, complex Jacobi rotations for diagonalization of Hermitian matrices of order two, using the correct…