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Upper Bound for the Induced 2-Norm $\|(A+B)^{-1}A\|$
Assume $A$ is a positive definite matrix, and $B$ is a positive semi-definite matrix. I am interested in the problem of whether there exists a constant upper bound for the induced 2-norm (spectral ...
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Is the 2-norm of a matrix bounded by the maximum of its 1-norm and Infinity-norm?
I am implementing the algorithm in "Approximating the Logarithm of a Matrix to Specified Accuracy" by Sheung Hun Cheng, Nicholas J. Higham, Charles S. Kenny, Alan J. Laub, 2001.
In this ...
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Matrix Norm Bounds
A natural consideration of matrix norms is to compare them, and one of the many standard results on the induced 1, 2, and $\infty$-norms indicate that
$$\frac{1}{\sqrt{n}}\|A\|_\infty\leq \|A\|_2\leq \...
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