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3
votes
1answer
153 views

Find maximum of the norm of matrix

g = 0.9; H = {{g, I}, {I, -g}}; G = MatrixExp[t*H]; Plot[Norm[G], {t, 0, 20}, AspectRatio -> 1] FindMaxValue[Norm[G], {t, 1}] The matrix has a parameter t. ...
16
votes
2answers
570 views

Differentiating functions of vectors/matrices?

I'm dealing with derivatives of scalar functions of matrices and wondering if Mathematica can help me here. The standard approach of expanding it in terms of components is cumbersome. As an ...
3
votes
1answer
315 views

Optimize a parametric matrix to get a lowest possible eigenvalue

This question is a followup of Plot the lowest eigenvalues of a parametric matrix Now I can get the lowest eigenvalue LowEign(t) of the matrix for a given t numerically. When I plot the LowEign ...
0
votes
1answer
686 views

Solving linear system with constraints

I need to come up with a solution for a rather, odd situation. Let's say I have an $M \times N$ matrix called ${\bf A}$, and I would like to solve it for ${\bf x}$ where $b_1 \le {\bf A} {\bf x} \le ...
1
vote
1answer
116 views

NMinimize error

I want to use NMinimize in the following way: ...
3
votes
1answer
200 views

Decomposing a diagonal positive real matrix

I would like to 'decompose' a diagonal positive real matrix $E$ of rank $D$ onto $\sum_{i=1}^{D}c(i)N^i$: $$E = \left( \begin{array}{ccc} 0 & & & \\ & a & & \\ &...
8
votes
2answers
825 views

Is there any fast way to solve a quadratic matrix equation in Mathematica approximately?

Let the square nonsingular matrix $M$ is a given convergent matrix. What are the best scalar values for $\alpha$ and $\beta$ (in the real numbers domain), at which the following quadratic matrix ...