{"product_id":"inequalities-in-the-lowner-partial-order-von-pattrawut-chansangiam","title":"Inequalities in the Lowner Partial Order","description":"\u003cp\u003eThis research is a study of inequalities in the  Lowner partial order for the special kind of  Hermitian matrices, namely, positive definite  symmetric matrices. The aim is to show the  relationship in the form of inequalities in the  Lowner partial order involving square, Kronecker  products, and Hadamard products of linear  combination of matrices. By applying the  monotonically increasing property of trace,  determinant and eigenvalues of positive definite  symmetric matrices to these inequalities,  inequalities involving trace, determinant and  eigenvalues of those matrices are obtained. The  usual arithmetic-geometric means inequality is a  special case of these results.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844301458\"\u003e\u003ch3\u003efor Positive Definite Symmetric Matrices\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844301458","offer_id":39497195028573,"sku":"9783844301458","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/119d7bce-827f-463b-b3fd-8f7f85482a2b.jpg?v=1765262887","url":"https:\/\/shop.autorenwelt.de\/products\/inequalities-in-the-lowner-partial-order-von-pattrawut-chansangiam","provider":"Autorenwelt Shop","version":"1.0","type":"link"}