Timeline for The statement that $A \ge B$ implies $A^{-1} \le B^{-1}$ is still true for matrices?
Current License: CC BY-SA 4.0
8 events
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| May 9, 2019 at 6:15 | history | edited | Denis Serre | CC BY-SA 4.0 |
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| Apr 11, 2018 at 12:32 | history | edited | Denis Serre | CC BY-SA 3.0 |
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| Apr 11, 2018 at 12:13 | comment | added | Bazin | A nice reference for monotone-matrix functions is the book MR0486556 by Donoghue, William F., Jr., Monotone matrix functions and analytic continuation, Die Grundlehren der mathematischen Wissenschaften, Band 207. Springer-Verlag, | |
| Apr 11, 2018 at 7:36 | comment | added | Gro-Tsen | For completeness of references, "R. Bhatia's book" is the book Matrix Analysis by Rajendra Bhatia (Springer 1997, Graduate Texts in Math. 169), and specifically §V.4 (even more specifically, theorem V.4.7 on page 135 and proposition V.4.14 as well as the comment that follows). | |
| Apr 11, 2018 at 7:04 | history | edited | Denis Serre | CC BY-SA 3.0 |
edited body
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| Apr 11, 2018 at 7:04 | comment | added | Denis Serre | @YemonChoi. Of course ! Thank you for the point. I fix it. | |
| Apr 11, 2018 at 6:45 | comment | added | Yemon Choi | Minor typo: your upper half plane has Re z not Im z | |
| Apr 11, 2018 at 5:39 | history | answered | Denis Serre | CC BY-SA 3.0 |