Some matrix inequalities of log-majorization type
نویسندگان
چکیده
منابع مشابه
Some Majorization Inequalities for Coneigenvalues∗
A new notion of coneigenvalue was introduced by Ikramov in [On pseudo-eigenvalues and singular numbers of a complex square matrix, (in Russian), Zap. Nauchn. Semin. POMI 334 (2006), 111-120]. This paper presents some majorization inequalities for coneigenvalues, which extend some classical majorization relations for eigenvalues and singular values, and may serve as a basis for further investiga...
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A new notion of coneigenvalue was introduced by Ikramov in [Kh.D. Ikramov. On pseudo-eigenvalues and singular numbers of a complex square matrix (in Russian). Zap. Nauchn. Semin. POMI, 334:111–120, 2006.]. This paper presents some majorization inequalities for coneigenvalues, which extend some classical majorization relations for eigenvalues and singular values, and may serve as a basis for fur...
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Let B be a smooth projective curve of genus γ over the complex numbers and let f : A→B be a non-isotrivial semi-abelian scheme over B with projective generic fiber of relative dimension g. Let U ⊂ B be the locus above which the fibers are projective, and let S = B−U (a finite set). Thus f : AU→U is abelian, and f : A→B is the connected component of its Neron model. Denote by g0 the dimension of...
متن کاملWeak log-majorization inequalities of singular values between normal matrices and their absolute values
This paper presents two main results that the singular values of the Hadamard product of normal matrices $A_i$ are weakly log-majorized by the singular values of the Hadamard product of $|A_{i}|$ and the singular values of the sum of normal matrices $A_i$ are weakly log-majorized by the singular values of the sum of $|A_{i}|$. Some applications to these inequalities are also given. In addi...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2021
ISSN: 0008-4395,1496-4287
DOI: 10.4153/s0008439521000102