Petko H. Petkov

Sep 2, 2024 | mdpi.com | Petko H. Petkov

1. IntroductionIn this paper, we are concerned with the derivation of realistic perturbation bounds on the sensitivity of various important subspaces arising in matrix analysis. Such bounds are especially needed in the perturbation analysis of high dimension subspaces when the known bounds may produce very pessimistic results. We show that much tighter bounds on the subspace sensitivity can be obtained by using a probabilistic approach based on the Markoff inequality.

Aug 28, 2024 | onlinelibrary.wiley.com | Petko H. Petkov

CONFLICT OF INTEREST STATEMENT The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. REFERENCES 1, . Matrix perturbation theory. New York: Academic Press; 1990. 2, , . An introduction to random matrices. Cambridge studies in advanced mathematics. Volume 118. Cambridge, UK: Cambridge University Press; 2009. 3, . Spectral analysis of large dimensional random matrices. 2nd ed.

Jun 19, 2023 | nature.com | Mingchao Wang |Shuai Fu |Petko H. Petkov |Yubin Fu |Zhitao Zhang |Yannan Liu | +8 more

AbstractTwo-dimensional conjugated polymers (2DCPs), composed of multiple strands of linear conjugated polymers with extended in-plane π-conjugation, are emerging crystalline semiconducting polymers for organic (opto)electronics. They are represented by two-dimensional π-conjugated covalent organic frameworks, which typically suffer from poor π-conjugation and thus low charge carrier mobilities.