id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-6417	Algefary, Ali; Alhumaidan, Tulin	A Characterization of Diagonal Solutions for a Class of Linear Matrix Inequality	2025	10	.pdf	application/pdf	3361	219	61	Math, 18 (3) (2025), 6417 3 of 10 matrix, we write positive diagonal matrix since it is clear that a diagonal positive definite matrix has all its diagonal elements positive. We say that the triple (A1, A2, A3) admits a positive diagonal solution if there exist positive diagonal matrices P1, P2, P3 ∈ Rn×n such that the block matrix AT 1 P1 + P1A1 + P2 + P3 P1A2 P1A3 AT 2 P1 −P2 0 AT 3 P1 0	cache/ejpam-6417.pdf	txt/ejpam-6417.txt