HLRF-BFGS-Based Algorithm for Inverse Reliability Analysis

Table 2

Logic flow in each iteration of the BFGS-based hybrid algorithm for the considered example.

Iteration number	The determinant of the inverse of Hessian	Is ?	Is diverging away from 1.0?	Action
				The initial value of the inverse of Hessian is assumed to be the identity matrix; The initial value of is 0
1	1.0	No	No	The BFGS update formula is used to update the inverse of Hessian; remains unchanged
2	1.4227	No	Yes	The inverse of Hessian is fixed as the identity matrix; The value of is changed to 1
3	1.0	Yes	No need to check further	The inverse of Hessian is fixed as the identity matrix; remains unchanged
4	1.0	Yes	No need to check further	The inverse of Hessian is fixed as the identity matrix; remains unchanged
5	1.0	Yes	No need to check further	The inverse of Hessian is fixed as the identity matrix; remains unchanged
6	1.0	Yes	No need to check further	The inverse of Hessian is fixed as the identity matrix; remains unchanged
7	1.0	Yes	No need to check further	The inverse of Hessian is fixed as the identity matrix; remains unchanged