11 citations · 18 across the 9 of their papers we have counts for
9 papers
Convergence and mixed-precision preconditioning for the naive Jacobi eigenvalue algorithm
Erna Begovic, Marija Miloloza Pandur, Ana Perkovic
The paper studies a Jacobi-type method for the eigenvalue problem of general complex matrices with simple eigenvalues. The method applies elementary triangular similarity transform…
On the block Eberlein diagonalization method
Erna Begovic, Ana Perkovic
The Eberlein diagonalization method is an iterative Jacobi-type method for solving the eigenvalue problem of a general complex matrix. In this paper we develop the block version of…
Randomized coupled decompositions
Erna Begovic, Anita Carevic, Ivana Sain Glibic
Coupled decompositions are a widely used tool for data fusion. As the volume of data increases, so does the dimensionality of matrices and tensors, highlighting the need for more e…
CP decomposition and low-rank approximation of antisymmetric tensors
Erna Begovic, Lana Perisa
For the antisymmetric tensors the paper examines a low-rank approximation which is represented via only three vectors. We describe a suitable low-rank format and propose an alterna…
Convergence of the Eberlein diagonalization method under the generalized serial pivot strategies
Erna Begovic, Ana Perkovic
The Eberlein method is a Jacobi-type process for solving the eigenvalue problem of an arbitrary matrix. In each iteration two transformations are applied on the underlying matrix,…
Trace maximization algorithm for the approximate tensor diagonalization
Erna Begovic, Ana Boksic
In this paper we develop a Jacobi-type algorithm for the approximate diagonalization of tensors of order via tensor trace maximization. For a general tensor this is an alt…
Finding the closest normal structured matrix
Erna Begovic
Given a structured matrix we study the problem of finding the closest normal matrix with the same structure. The structures of our interest are: Hamiltonian, skew-Hamiltonian,…
On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies
Erna Begovic, Vjeran Hari
The paper analyzes special cyclic Jacobi methods for symmetric matrices of order . Only those cyclic pivot strategies that enable full parallelization of the method are consider…
Convergence of the Cyclic and Quasi-cyclic Block Jacobi Methods
Vjeran Hari, Erna Begovic
The paper studies the global convergence of the block Jacobi me\-thod for symmetric matrices. Given a symmetric matrix of order , the method generates a sequence of matrices…