Weak majorization inequalities for singular values
نویسندگان
چکیده
منابع مشابه
Weak 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...
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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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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متن کاملWeak matrix majorization
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2013
ISSN: 1846-3886
DOI: 10.7153/oam-07-41