In this paper, a two-sided, parallel Kogbetliantz-type algorithm for the hyperbolic singular value decomposition (HSVD) of real and complex square matrices is developed, with single assumption that input matrix, order n, admits such into product unitary, non-negative diagonal, J-unitary where J given diagonal matrix positive negative signs. When = ±I, proposed computes ordinary SVD. The paper’s...

PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In current paper, we present cost-effective Hessenberg-type method built upon Hessenberg process solution difficult problems. The new very competitive with other popular algorithms this field, such as Arnoldi-type methods, especially when damping factor close to $1$ ...