Spectral problem of block-rectangular hierarchical matrices
B. Gutkin, V.Al. Osipov
TL;DR
This paper introduces a new class of block-rectangular hierarchical matrices, investigates their spectral properties, and applies these findings to model error generation in information sequences.
Contribution
The paper presents a novel class of non-symmetric hierarchical matrices and analyzes their spectral problem, expanding understanding of their role in complex systems.
Findings
Spectral properties of the new matrix class are characterized.
Application to error modeling in information sequences is demonstrated.
Insights into complex systems through hierarchical matrix analysis.
Abstract
The spectral problem for matrices with a block-hierarchical structure is often considered in context of the theory of complex systems. In the present article, a new class of matrices with a block-rectangular non-symmetric hierarchical structure is introduced and the corresponding spectral problem is investigated. Using these results we study a model of error generation in information sequence where such block-rectangular hierarchical matrices appear in a natural way.
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.