POTE tuning: Difference between revisions

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# Form a matrix '''V''' from '''A''' by multiplying by the diagonal matrix which is zero off the diagonal and 1/log<sub>2</sub>''p'' on the diagonal; in other words the diagonal is {{nowrap|[1 1/log<sub>2</sub>3 1/log<sub>2</sub>5 1/log<sub>2</sub>7]}}. Another way to say this is that each val is "weighted" by dividing through by the logarithms, so that {{nowrap|'''V''' {{=}} [{{val| 1 0 2/log<sub>2</sub>5 -1/log<sub>2</sub>7 }}, {{val| 5/log<sub>2</sub>3 1/log<sub>2</sub>5 12/log<sub>2</sub>7 }}]}}
# Form a matrix '''V''' from '''A''' by multiplying by the diagonal matrix which is zero off the diagonal and 1/log<sub>2</sub>''p'' on the diagonal; in other words the diagonal is {{nowrap|[1 1/log<sub>2</sub>3 1/log<sub>2</sub>5 1/log<sub>2</sub>7]}}. Another way to say this is that each val is "weighted" by dividing through by the logarithms, so that {{nowrap|'''V''' {{=}} [{{val| 1 0 2/log<sub>2</sub>5 -1/log<sub>2</sub>7 }}, {{val| 5/log<sub>2</sub>3 1/log<sub>2</sub>5 12/log<sub>2</sub>7 }}]}}
# Find the pseudoinverse of the matrix {{nowrap|'''V'''{{+}} {{=}} '''V'''{{t}}('''VV'''}}t}}){{inv}}}}.  
# Find the pseudoinverse of the matrix {{nowrap|'''V'''{{+}} {{=}} '''V'''{{t}}('''VV'''{{t}}){{inv}}}}.  
# Find the TE generators {{nowrap|'''G''' {{=}} {{val| 1 1 1 1 }}'''V'''{{+}}}}.  
# Find the TE generators {{nowrap|'''G''' {{=}} {{val| 1 1 1 1 }}'''V'''{{+}}}}.  
# Find the TE [[tuning map]]: {{nowrap|'''T''' {{=}} '''GV'''}}.  
# Find the TE [[tuning map]]: {{nowrap|'''T''' {{=}} '''GV'''}}.