Spiral determinants
Gaurav Bhatnagar, Christian Krattenthaler (Universit\"at Wien)
TL;DR
This paper investigates the determinants of spiral matrices characterized by entries that increase according to a specific pattern as they spiral outward from the center.
Contribution
It introduces a method to evaluate determinants of spiral matrices with prescribed incremental patterns based on movement directions.
Findings
Derived explicit formulas for determinants of spiral matrices.
Identified conditions under which determinants can be computed efficiently.
Provided insights into the structure of spiral matrices and their properties.
Abstract
We evaluate determinants of "spiral" matrices, which are matrices in which entries are spiralling from the centre of the matrices towards the outside, with prescribed increments from one entry to the next depending on whether one moves right, up, left, or down along the spiral.
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.