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20042020
most citedA Computational Method for Sharp Interface Advection

447 citations

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7 papers · 1 filter

math.NA2020

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…

math.NA2019★ 4 cited

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…

math.NA2019★ 1 cited

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…

math.NA2018★ 67 cited

An open-source finite volume toolbox for solid mechanics and fluid-solid interaction simulations

P. Cardiff, A. Karač, P. De Jaeger +4

Over the past 30 years, the cell-centred finite volume method has developed to become a viable alternative to the finite element method in the field of computational solid mechanic…

math.NA2010★ 16 cited

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…

math.NA2010★ 30 cited

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…

math.NA2010★ 13 cited

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…