主講人：張福振 美國(guó)諾瓦東南大學(xué)教授
時(shí)間：2024年6月14日9：30
地點(diǎn)：三號(hào)樓332室
舉辦單位：數(shù)理學(xué)院
主講人介紹：張福振，現(xiàn)為美國(guó)Nova Southeastern University（諾瓦東南大學(xué)）數(shù)學(xué)系教授。主要研究線性與多重線性代數(shù)及矩陣分析、算子理論、泛函分析和組合數(shù)學(xué)。至今發(fā)表學(xué)術(shù)論文80余篇，著作3部。曾任美國(guó)數(shù)學(xué)會(huì)《數(shù)學(xué)評(píng)論》 評(píng)審人,國(guó)際線性代數(shù)學(xué)會(huì)公報(bào)《IMAGE》編委,美國(guó)自然科學(xué)基金評(píng)委?，F(xiàn)任多家國(guó)際數(shù)學(xué)雜志編委或客座編委。若干國(guó)際數(shù)學(xué)專業(yè)會(huì)議主講人,其中包括第18屆國(guó)際線性代數(shù)學(xué)會(huì)大會(huì)，第22屆國(guó)際矩陣與統(tǒng)計(jì)研討班，和田納西大學(xué)線性代數(shù)及圖論會(huì)。國(guó)際矩陣分析及應(yīng)用系列會(huì)議組委會(huì)主席。第19屆國(guó)際線性代數(shù)學(xué)會(huì)大會(huì)組委會(huì)成員。在世界各地專業(yè)會(huì)議中報(bào)告80余次。近年來在中國(guó)一些高校就中美高等教育演講。被聘為上海大學(xué)等高校兼職教授。參與創(chuàng)建佛州華人華僑聯(lián)合會(huì)，并曾任主席(1994-1996)，南佛州現(xiàn)代中文學(xué)校校長(zhǎng)等職。2013年獲諾瓦東南大學(xué)文理學(xué)院杰出教授獎(jiǎng)。
內(nèi)容介紹：Eigenvalue and singular value inequalities are fundamental results in linear algebra and matrix theory. They have various applications in mathematics as well as in applied fields like control theory, signal processing, quantum mechanics, and optimization. Given two square matrices of the same order, we consider the eigenvalues and singular values of the sum and product of the matrices. For example, what can be said about the sum of the largest and smallest eigenvalues of the product of two positive semidefinite matrices? This talk reviews some eigenvalue and singular value inequalities recently obtained via minimax principles. In particular, we present singular value inequalities of log-majorization type.