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math.NA2024
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…
math.NA2019
An algorithm for the complete solution of the quartic eigenvalue problem
Zlatko Drmač, Ivana Šain Glibić
Quartic eigenvalue problem naturally arises e.g. when solving the Orr-Sommerfeld equation in the analysis of the stability of the {P…
math.NA2019
New numerical algorithm for deflation of infinite and zero eigenvalues and full solution of quadratic eigenvalue problems
Zlatko Drmač, Ivana Šain Glibić
This paper presents a new method for computing all eigenvalues and eigenvectors of quadratic matrix pencil. It is an upgrade of the quadeig algorithm by Hammarling, Munro and Tisse…