problem in minimization of a matrix

• To: mathgroup at smc.vnet.net
• Subject: [mg122866] problem in minimization of a matrix
• From: Herman16 <btta2010 at gmail.com>
• Date: Sun, 13 Nov 2011 04:43:24 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

```\[Sigma]M[\[Rho]_, \[Phi]_] :=
ArrayFlatten[
Cosh[2 \[Rho]]/
2 ({{1 +
Tanh[2 \[Rho]] Cos[\[Phi]], -Tanh [
2 \[Rho]] Sin[\[Phi]] }, {-Tanh [2 \[Rho]] Sin[\[Phi]],
1 - Tanh[2 \[Rho]] Cos[\[Phi]]}})]

NMinimize[{\[Sigma]M[\[Rho], \[Phi]], \[Rho] >= 0,
0 <= \[Phi] <= 2 \[Pi]}, {\[Rho], \[Phi]}]

\[Tau][\[Alpha]_, \[Beta]_, \[Omega]0_, \[Lambda]_, t_,
r_, \[Rho]_, \[Phi]_] :=
Det[At[\[Alpha], \[Beta], \[Omega]0, \[Lambda], t, r] -
Ct[\[Alpha], \[Beta], \[Omega]0, \[Lambda], t, r]
Inverse[(At[\[Alpha], \[Beta], \[Omega]0, \[Lambda], t,
r] + \[Sigma]M[\[Rho], \[Phi]])]
Ct[\[Alpha], \[Beta], \[Omega]0, \[Lambda], t, r]\[Transpose]]

But the matrix  At & Ct are depend on numbers, the minimization is on \
the matrix \[Sigma]M[\[Rho]_, \[Phi]_]

```

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