99
Views
2
CrossRef citations to date
0
Altmetric
Research Article

New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality

, , ORCID Icon &
Pages 1228-1243 | Received 18 Jun 2021, Accepted 08 Feb 2022, Published online: 05 Apr 2022

References

  • Zou L. An arithmetic geometric mean inequality for singular values and its applications. Linear Algebra Appl. 2017;528:25–32.
  • Lemos R, Soares G. Some log-majorizations and an extension of a determinantal inequality. Linear Algebra Appl. 2018;547:19–31.
  • Hiai F, Lin M. On an eigenvalue inequality involving the Hadamard product. Linear Algebra Appl. 2017;515:313–320.
  • Bhatia R, Lim Y, Yamazaki T. Some norm inequalities for matrix means. Linear Algebra Appl. 2016;501:112–122.
  • Dinh TH, Dumitru R, Franco JA. On a conjecture of Bhatia, Lim and Yamazaki. Linear Algebra Appl. 2017;532:140–145.
  • Ghabries M, Abbas H, Mourad B. On some open questions concerning determinantal inequalities. Linear Algebra Appl. 2020;596:169–183.
  • Tanahashi K. The Furuta inequality with negative powers. Proc Amer Math Soc. 1999;127: 1683–1692.
  • Audenaert KMR. An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions. Linear Algebra Appl. 2013;438:3454–3462.
  • Lemos R, Soares G. Spectral inequalities for Kubo-Ando operator means. Linear Algebra Appl. 2020;607:29–44.
  • Zhang F. Matrix theory: basic results and techniques. 2nd ed. New York (NY): Springer; 2011.
  • Zhan X. Matrix inequalities. New York (NY): Springer; 2002. (Lecture notes in mathematics; vol. 1790).
  • Abbas H, Ghabries M, Mourad B. New determinantal inequalities concerning Hermitian and positive semi-definite matrices. Oper Matrices. 2021;15:105–116.
  • Lin M. On a determinantal inequality arising from diffusion tensor imaging. Commun Contemp Math. 2017;19:1650044.
  • Zhang F. Matrix inequalities by means of block matrices. Math Inequal Appl 2001;4(4):481–490.
  • Furuta T. Extensions of inequalities for unitarily invariant norms via log majorization. Linear Algebra Appl. 2012;436:3463–3468.
  • Ghabries M, Abbas H, Mourad B, et al. A proof of a conjectured determinantal inequality. Linear Algebra Appl. 2020;605:21–28.
  • Matharu JS, Aujla JS. Some inequalities for unitarily invariant norms. Linear Algebra Appl. 2012;436:1623–1631.
  • Hoa DT. Some inequalities for the matrix Heron mean. Linear Algebra Appl. 2017;528:321–330.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.