Listing A4: Calculate the Chernoff information between two 4D centered normal distributions based on their eigenvalues.

assume(l1>0);assume(l2>0);assume(l3>0);assume(l4>0); assume(alpha>0);assume(alpha<1); l1:1;l2:2;l3:3;l4:4; eq: (1-l1)/(alpha+(1-alpha)*l1)+ (1-l2)/(alpha+(1-alpha)*l2)+ (1-l3)/(alpha+(1-alpha)*l3)+ (1-l4)/(alpha+(1-alpha)*l4) + log(l1)+log(l2)+log(l3)+log(l4); solve(eq,alpha); sol:float(%); realpart(sol);imagpart(sol); /* alpha=0.5969427599369763 */