Second-order cone and semidefinite methods for the bisymmetric matrix approximation problem

Autor:	Suliman Al-Homidan
Rok vydání:	2022
Předmět:	General Mathematics
Zdroj:	Arabian Journal of Mathematics. 11:397-406
ISSN:	2193-5351 2193-5343
DOI:	10.1007/s40065-022-00383-z
Popis:	Approximating the closest positive semi-definite bisymmetric matrix using the Frobenius norm to a data matrix is important in many engineering applications, communication theory and quantum physics. In this paper, we will use the interior point method to solve this problem. The problem will be reformulated into various forms, in the beginning as a semi-definite programming problem and later, into the form of a mixed semidefintie and second-order cone optimization problem. Numerical results comparing the efficiency of these methods with the alternating projection algorithm will be reported.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c1cb1f45651b83550645657ea9622b0b https://doi.org/10.1007/s40065-022-00383-z Zobrazit plný text záznamu Plný text ve formátu PDF