Singular value inequalities for matrices with numerical ranges in a sector
By S. T. D. Rury, IN Minghual. 2014
93 citations recorded by the source corpus.
. Let A = (cid:2) A 11 A 12 A 21 A 22 (cid:3) , where A 22 is q × q , be an n × n complex matrix such that the numerical range of A is contained in S α = { z ∈ C : ℜ z > 0 , | ℑ z | (cid:2) ( ℜ z ) tan α } for some α ∈ [ 0 , π / 2 ) . We obtain the following singular value inequality:
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/b4fc02de29b8c03142befb08a5737a0a68491320
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In Applied Mathematics
In Computational Theory and Mathematics
In Numerical Analysis
Citations in the corpus
- A matrix decomposition and its applications (2015, background): “Lin for reference [4] which initiated this work; he is also indebted to M.”