Majorization and matrix inequalities
Weband expand on the role of the anticommutator. In doing so, we extend Hanner’s Inequality for self-adjoint matrices to the {A,B}=0 case for all ranges of p. Mathematics subject … WebThis paper also derives majorization inequalities for f-divergences where part of these inequalities rely on the earlier data-processing inequalities (see Theorem 6).A different …
Majorization and matrix inequalities
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Web1 apr. 2024 · Download Citation On Apr 1, 2024, Arthur Marmin and others published Joint Majorization-Minimization for Nonnegative Matrix Factorization with the β -divergence Find, read and cite all the ... Web10 mrt. 2024 · Some matrix inequalities of log-majorization type Bo-Yan Xi, Fuzhen Zhang The purpose of this paper is two-fold: we present some matrix inequalities of log …
Web11 apr. 2024 · This article proposes new multiplicative updates for nonnegative matrix factorization (NMF) with the β-divergence objective function.Our new updates are derived from a joint majorization-minimization (MM) scheme, in which an auxiliary function (a tight upper bound of the objective function) is built for the two factors jointly and minimized at … Web10 sep. 2013 · If you want to compare two vectors whose elements may not be non-increasing, first you sort them. For further details see the technical report Inequalities …
WebMatrix log-majorization is a powerful tool for establishing trace, determinan-tal and matrix norm inequalities. For instance, A˚ log B ) det(I n+ A) det(I n+ B): On the other hand, some classical determinantal inequalities can nd their majorization counterparts. As usual, A>0 means that Ais a positive de nite matrix and A B WebMoreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations. Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood. 展开
Web151. 作者：. T Ando. 摘要：. In matrix theory, majorization plays a significant role. For instance, majorization relations among eigenvalues and singular values of matrices …
高 jisコードWebAUJLA,Some norm inequalities for operators, Advances in Operator Theory 5 (2024) 627–639. [12] M. KHOSRAVI,Some matrix inequalities for weighted power mean, Ann. Func. Anal. 7 (2016) 348– 357. [13] J. LIAO ANDJ. WU, Matrix inequalities for the difference between arithmetic mean and harmonic mean, Ann. Func. Anal. 6 (2015) … 高 iq 児 ブログWebInequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this … tartan mug setWebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): A unified approach is presented to the vector inequalities of the form Lx Kx↓, where L and K are … 高 iq めんどくさ がりWebMajorization is a basic concept in matrix theory, and has recently become a useful mathematical tool in quantum information theory, beginning with work of Nielsen (1999) that linked it with quantum operations described by local operations and classical communication. S. Plosker (Brandon) Majorization and Trumping Friday, September 26, … 高k カルチコールWebtreatment on the theory of majorization and its applications in combinatorial analysis, geometric and matrix-related inequalities, and numerical analysis, as well as statistics … 高iq集団 メンサWeb1 Key words and phrases: Majorization, positive semidefinite 2 Abstract Let H = M K K∗ N 3 be a Hermitian matrix. It is known that the eigenvalues of M ⊕ N are 4 majorized by the eigenvalues of H. If, in addition, H is positive semidefinite and the block K 5 is Hermitian, then the following reverse majorization inequality holds for the ... 高 ldl コレステロール血症に関する記述のうち、正しいのはどれか。1つ選べ。