HOLMQUIST3 Computes moments for higher order reliability methods.
Sum of diagonal elements. |
Computes moments for higher order reliability methods. | |
Gives first two terms in an asymptotic expansion of the |
01 function E=holmquist3(S,Q1,Q2,Q3) 02 % HOLMQUIST3 Computes moments for higher order reliability methods. 03 04 S=.5*(S+S'); 05 Q1=.5*(Q1+Q1'); 06 Q2=.5*(Q2+Q2'); 07 Q3=.5*(Q3+Q3'); 08 E1=0; 09 E1=8*trace(Q1*S*Q2*S*Q3*S); 10 E1=E1+2*trace(Q1*S*Q2*S)*trace(Q3*S)+2*trace(Q1*S*Q3*S)*trace(Q2*S)+ ... 11 2*trace(Q2*S*Q3*S)*trace(Q1*S); 12 E=E1+trace(Q1*S)*trace(Q2*S)*trace(Q3*S); 13
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