Some Inequalities for Positive Definite Symmetric Matrices

Abstract

Previous article Next article Some Inequalities for Positive Definite Symmetric MatricesF. T. ManF. T. Manhttps://doi.org/10.1137/0119068PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Bellman, Introduction to matrix analysis, McGraw-Hill Book Co., Inc., New York, 1960xx+328 MR0122820 0124.01001 Google Scholar[2] Richard Bellman, Some inequalities for the square root of a positive definite matrix, Linear Algebra and Appl., 1 (1968), 321–324 10.1016/0024-3795(68)90011-6 MR0234977 0164.03301 CrossrefGoogle Scholar[3] A. S. Householder, private communication Google Scholar[4] Raymond Redheffer, Remarks on a paper of Taussky, J. Algebra, 2 (1965), 42–47 10.1016/0021-8693(65)90024-4 MR0183732 0166.03004 CrossrefGoogle Scholar[5] P. Stein, Some general theorems on iterants, J. Research Nat. Bur. Standards, 48 (1952), 82–83 MR0047001 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Design of the Robust Fault-Tolerant Controller for Uncertain Linear System with Time-Delay2012 Second International Conference on Intelligent System Design and Engineering Application | 1 Jan 2012 Cross Ref Constraints on relaxation rates for N -level quantum systemsPhysical Review A, Vol. 70, No. 2 | 30 August 2004 Cross Ref Two-degree-of-freedom design method of linear-quadratic servo systems with an integral compensator: analysis of the performance deterioration by the introduction of an observerInternational Journal of Control, Vol. 64, No. 5 | 24 February 2007 Cross Ref Two-degree-of-freedom design method of LQI servo systems: disturbance rejection by constant state feedbackInternational Journal of Control, Vol. 63, No. 4 | 27 February 2007 Cross Ref Some further results on Hermitian-matrix inequalitiesLinear Algebra and its Applications, Vol. 160 | 1 Jan 1992 Cross Ref On the löwner, minus, and star partial orderings of nonnegative definite matrices and their squaresLinear Algebra and its Applications, Vol. 151 | 1 Jun 1991 Cross Ref Volume 19, Issue 4| 1970SIAM Journal on Applied Mathematics637-777 History Submitted:02 December 1969Published online:12 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0119068Article page range:pp. 679-681ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics