We present a new formulation of the hyperbolic singular value decomposition (HSVD) for an
arbitrary complex (or real) matrix without hyperexchange matrices and redundant invariant …

The paper proves the quadratic convergence of the complex HZ method for solving the
positive definite generalized eigenvalue problem. The proof is made for a general cyclic …

The paper considers a Jacobi method for solving the generalized eigenvalue problem
Ax=λBx, where A and B are complex Hermitian matrices and B is positive definite. The …

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 a …

The eigenvalue decomposition (EVD) of (a batch of) Hermitian matrices of order two has a
role in many numerical algorithms, of which the one-sided Jacobi method for the singular …

A parallel, blocked, one-sided Hari–Zimmermann algorithm for the generalized singular
value decomposition (GSVD) of a real or a complex matrix pair (F, G) is here proposed …

The paper proves the global convergence of a general block Jacobi method for the
generalized eigenvalue problem A x= λ B x A x= λ B x with symmetric matrices AA, BB such …

In this paper a vectorized algorithm for simultaneously computing up to eight singular value
decompositions (SVDs, each of the form A= U Σ V∗) of real or complex matrices of order two …