30 citations · 99 across the 12 of their papers we have counts for
9 papers
Nearly optimal scaling in the SR decomposition
Heike Fassbender, Miroslav Rozloznik, Sanja Singer
In this paper we analyze the nearly optimal block diagonal scalings of the rows of one factor and the columns of the other factor in the triangular form of the SR decomposition. Th…
A Kogbetliantz-type algorithm for the hyperbolic SVD
Vedran Novaković, Sanja Singer
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 sing…
Implicit Hari--Zimmermann algorithm for the generalized SVD on the GPUs
Vedran Novaković, Sanja Singer
A parallel, blocked, one-sided Hari--Zimmermann algorithm for the generalized singular value decomposition (GSVD) of a real or a complex matrix pair is here proposed, where…
The antitriangular factorization of skew-symmetric matrices
Sanja Singer
In this paper we develop algorithms for orthogonal similarity transformations of skew-symmetric matrices to simpler forms. The first algorithm is similar to the algorithm for the b…
The LAPW method with eigendecomposition based on the Hari--Zimmermann generalized hyperbolic SVD
Sanja Singer, Edoardo Di Napoli, Vedran Novaković +1
In this paper we propose an accurate, highly parallel algorithm for the generalized eigendecomposition of a matrix pair , given in a factored form $(F^{\ast} J F, G^{\ast}…
Three-Level Parallel J-Jacobi Algorithms for Hermitian Matrices
Sanja Singer, Sasa Singer, Vedran Novakovic +3
The paper describes several efficient parallel implementations of the one-sided hyperbolic Jacobi-type algorithm for computing eigenvalues and eigenvectors of Hermitian matrices. B…
A GPU-based hyperbolic SVD algorithm
Vedran Novakovic, Sanja Singer
A one-sided Jacobi hyperbolic singular value decomposition (HSVD) algorithm, using a massively parallel graphics processing unit (GPU), is developed. The algorithm also serves as t…
Novel Modifications of Parallel Jacobi Algorithms
Sanja Singer, Sasa Singer, Vedran Novakovic +2
We describe two main classes of one-sided trigonometric and hyperbolic Jacobi-type algorithms for computing eigenvalues and eigenvectors of Hermitian matrices. These types of algor…
Estimates for the Spectral Condition Number of Cardinal B-Spline Collocation Matrices (Long version)
Vedran Novakovic, Sanja Singer, Sasa Singer
The famous de Boor conjecture states that the condition of the polynomial B-spline collocation matrix at the knot averages is bounded independently of the knot sequence, i.e., depe…