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seen Oct 16 '12 at 12:42
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Apr
19
comment An algebra of nilpotent linear transformations is triangularizable
@Manos: Yes, it is.
Apr
19
asked An algebra of nilpotent linear transformations is triangularizable
Apr
12
comment Prove inequality with norms and matrices
It is homework, so I cannot tell more. My answer does not deserve one vote up?
Apr
11
revised Prove inequality with norms and matrices
added 203 characters in body
Apr
11
answered Prove inequality with norms and matrices
Apr
11
comment Pseudo inner product question
Yeah, your inner product is really curious, I found this somewhat related article on standard inner product and angles springerlink.com/content/472w17185p0771w0
Apr
10
comment Proof of Pinsker's inequality.
I find a simpler one from Borwein\& Levis, 2005, page 63.
Apr
10
accepted Proof of Pinsker's inequality.
Apr
9
comment Indefinite Integral for $\cos x/(1+x^2)$
I guess there is no explicit formula for the indefinite integral. I know and estimate $$ \int_{0}^{\pi/2}\frac{\cos x}{1+x^2}\;dx\ge \int_{0}^{\pi/2}\frac{\sin x}{1+x^2}\;dx $$
Apr
5
comment If $A\ge0$ and $B\le 0$, are the eigenvalues of $AB$ non-positive?
See e.g., page 57 of Fuzhen Zhang, Matrix Theory: Basic Results and Techniques Second Edition
Apr
4
comment Proof of Pinsker's inequality.
Is there a simpler proof?
Apr
4
comment If $A\ge0$ and $B\le 0$, are the eigenvalues of $AB$ non-positive?
For any square matrices $XY$, its spectrum coincides with that of $YX$. You may first assume $X$ is invertible, otherwise use an $\epsilon$ argument.
Apr
4
answered If $A\ge0$ and $B\le 0$, are the eigenvalues of $AB$ non-positive?
Apr
4
asked Proof of Pinsker's inequality.
Apr
3
comment number of invertible 0-1 matrices
Sorry all... so the conclusion is that my guess in the question is wrong and there is no known formula.
Apr
3
comment number of invertible 0-1 matrices
It definitely helps.
Apr
3
comment number of invertible 0-1 matrices
the matrices considered are with entries from real field.
Apr
3
revised number of invertible 0-1 matrices
added 4 characters in body
Apr
3
asked number of invertible 0-1 matrices
Apr
1
comment Different approaches to evaluate this determinant
Thanks, bgins's solution works also for general lambda matrices....I am looking for other approaches.