- #1
rubinj
- 2
- 0
I have the following mapping (generalized geometric mean):
[tex]y(i)=exp\left[{\sum_j p(j|i)\log x(j)}\right]\\ ,\ i,j=1..N[/tex]
where p(j|i) is a normalized conditional probability.
my question is - is this a contraction mapping?
in other words, does the following equation have a unique solution:
[tex]x(i)=exp\left[{\sum_j p(j|i)\log x(j)}\right]\\ ,\ i,j=1..N[/tex]
thanks in advance,
rubin
[tex]y(i)=exp\left[{\sum_j p(j|i)\log x(j)}\right]\\ ,\ i,j=1..N[/tex]
where p(j|i) is a normalized conditional probability.
my question is - is this a contraction mapping?
in other words, does the following equation have a unique solution:
[tex]x(i)=exp\left[{\sum_j p(j|i)\log x(j)}\right]\\ ,\ i,j=1..N[/tex]
thanks in advance,
rubin