Hello
Thanks a lot for the details of your illustration.
Yes, m\geq p was actually correct.
In the fourth paragraph of your reply you say that A_L^{min}=P_{Ran(A)}A_L. Shouldn't it be A_L^{min}=A_LP_{Ran(A)} instead?
Thanks again!
Bag
Hello
I'm trying to show that the following upper bound on the matrix 2-norm is true:
\left\|(AB)^+\right\|_2\leq\left\|A^+\right\|_2 \left\|B^+\right\|_2
where + is the matrix pseudoinverse and A\in\Re^{n\times m} and B\in\Re^{m\times p} are full-rank matrices with n\geq m\geq p...
Hello
I have found in some textbooks that the magnetic scalar potential is continuous across a boundary. Now, how can this be explained starting from the two boundary conditions of Maxwell's equations (continuity of normal flux density Bn and tangential field Ht)?
Thanks in advance for...
Hello
Suppose we have to compare a set of forces calculated with an analytical model to a set of measured forces.
What in your opinion is a good way to compare the forces? I have noticed that comparing the 3 components of the forces (suppose that we can measure all of the simultaneously)...
Hi Stephen
Actually what is meant is the following: the rotation matrix R multiplied by the vector P returns the rotated vector P'. Then, the product operator \prod gives me a scalar by multiplying the 3 entries of the vector P'. I was wondering if the last product operation could somehow be...
Hello
Is there any known operation/notation to express the multiplication of the entries of a rotated vector? More precisely, is there an alternative expression to replace the product operator for the following expression:
\prod_i^3(RP)_i
where R is the rotation matrix and P a vector in...
Hello
I would like to calculate the magnetic flux density given by a permanent magnet which is placed about the surface of a iron hollow sphere (assume mur = Inf). Actually, I am interested in the flux density just outside the hollow sphere.
The idea is to replace the magnet with equivalent...
Hi
Can anybody tell how I can prove that the magnetic flux density is perpendicular to external boundaries with imposed zero magnetic scalar potential?
Thanks
Bag