Advanced Determinant Calculus
Christian Krattenthaler (Universit\"at Wien)

TL;DR
This paper offers tools, examples, and references for evaluating complex determinants, aiding researchers in efficiently handling determinant calculations in various mathematical contexts.
Contribution
It introduces useful tools, compiles evaluated determinants with context, and provides references for further determinant evaluations, enhancing research efficiency.
Findings
Provides efficient tools for determinant evaluation
Lists evaluated determinants with contextual explanations
Offers references for additional determinant evaluations
Abstract
The purpose of this article is threefold. First, it provides the reader with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research. Second, it lists a number of such determinants that have been already evaluated, together with explanations which tell in which contexts they have appeared. Third, it points out references where further such determinant evaluations can be found.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNeural Networks and Applications · Matrix Theory and Algorithms
