Visiting Scientist
Silesian Univ of Tech, Applied Informatics Dept.
jrespondek@polsl.pl
Room 03.326 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67133
Jerzy Respondek is a Polish computer engineer with a postdoctoral degree in technical sciences.
He is a professor at the Department of Applied Computer Science at the Faculty of Automatic Control, Electronics and Computer Science of the Silesian University of Technology and specializes in numerical methods.
Author of the monograph:
Respondek J.S. “Fast Matrix Multiplication with Applications“, Studies in Big Data, Vol. 166, Springer Nature Switzerland AG 2025 (260 pages)
Excerpt from the Editorial Review:
“The ambition of this monograph is to show the methods of constructing fast matrix multiplication algorithms, and their applications, in an intelligible way, accessible not only to mathematicians. Each algorithm is demonstrated by a concrete example of a decent dimensionality to ensure that all the mechanisms of the algorithms are illustrated. Finally, authors give a series of applications of fast matrix multiplication algorithms in linear algebra and other types of problems, including artificial intelligence.”
Co-author of the best algorithm in history, since 1891, for inverting confluent-type Vandermonde matrices, in terms of efficiency, memory requirements and accuracy at the same time:
Respondek J.S. “Numerical recipes for the high efficient inverse of the confluent Vandermonde matrices“. Applied Mathematics and Computation, Volume 218, Issue 5, pp. 2044-2054, 2011.
Algorithm cited in the book: Gérard Meurant “Hessenberg and Tridiagonal Matrices” SIAM 2025.
That direction of Vandermonde generalization is mainly associated with generalized, Hermite-type interpolation, formulated in 1878: Hermite M. Ch., Borchardt M. “Sur la formule d’interpolation de Lagrange“. Journal für die reine und angewandte Mathematik, Vol. 84, pp. 70-79, 1878. DOI:10.1515/crelle-1878-18788405
Contributed to classic fast matrix multiplication algorithms:
Respondek J.S. “Correction of ‘J. Laderman, V. Pan, X.–H. Sha, On practical Algorithms for Accelerated Matrix Multiplication, Linear Algebra and its Applications. Vol. 162-164 (1992) pp. 557-588.'”. Linear and Multilinear Algebra, Vol. 73 (5), 2025, pp. 838-848
See press articles
Reviewer for Journals
– SIAM Review – since 2025.
– IEEE Transactions (3 titles) – since 2018.
