Revisiting hua-marcus-bellman-ando inequalities on contractive matrices
Linear Algebra and its Applications, ISSN: 0024-3795, Vol: 430, Issue: 5, Page: 1499-1508
2009
- 10Citations
- 7Usage
- 7Captures
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
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.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
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.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations10
- Citation Indexes10
- 10
- CrossRef5
- Usage7
- Abstract Views7
- Captures7
- Readers7
Article Description
Loo-Keng Hua showed some elegant matrix and determinant inequalities via a matrix identity and proved the positive semidefiniteness of a matrix involving the determinants of contractive matrices through group representation theory. His study was followed by M. Marcus, R. Bellman and T. Ando. The purpose of current paper is to revisit the Hua’s original work and the results of Marcus, Bellman and Ando with our comments, and to present analogs and extensions to their results.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0024379507005307; http://dx.doi.org/10.1016/j.laa.2007.11.011; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=58349089079&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0024379507005307; https://api.elsevier.com/content/article/PII:S0024379507005307?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0024379507005307?httpAccept=text/plain; https://nsuworks.nova.edu/math_facarticles/102; https://nsuworks.nova.edu/cgi/viewcontent.cgi?article=1101&context=math_facarticles; https://dx.doi.org/10.1016/j.laa.2007.11.011
Elsevier BV
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know