Some inequalities of majorization type
Linear Algebra and its Applications, ISSN: 0024-3795, Vol: 437, Issue: 6, Page: 1305-1316
2012
- 12Citations
- 11Usage
- 8Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations12
- Citation Indexes12
- 12
- CrossRef6
- Usage11
- Abstract Views11
- Captures8
- Readers8
Article Description
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, and trace inequalities of matrices. We also present a generalization and a different proof of a recent result on majorization concerning partitioned Hermitian positive semidefinite matrices.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0024379512002972; http://dx.doi.org/10.1016/j.laa.2012.04.021; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84862896500&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0024379512002972; https://dul.usage.elsevier.com/doi/; https://api.elsevier.com/content/article/PII:S0024379512002972?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0024379512002972?httpAccept=text/plain; https://nsuworks.nova.edu/math_facarticles/112; https://nsuworks.nova.edu/cgi/viewcontent.cgi?article=1111&context=math_facarticles; https://dx.doi.org/10.1016/j.laa.2012.04.021
Elsevier BV
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