Iterative Determinant Method for Solving Eigenvalue Problems

This paper presents iterative determinant method for solving eigenvalue problems. A matlab program that operates iterative to evaluate the determinant of the problem was written. In the program, a trial eigenvalue is used in the program to compute the determinant. A small value (iterator) is added to trial eigenvalue to obtain a new trial eigenvalue, which is used to compute new determinant. The trial eigenvalue in the sequence that made the determinants to move from negative values to positive value or move from positive values to negative value becomes required eigenvalue. Some engineering problems were used to validate the eigensolver. Some of the data from the eigensolver and the corresponding exact data are 2.468 and 2.4678; 9.876 and 9.875; 60.001 and 60.00; 12.37 and 12.3695. Close look at