A theorem for locating eigenvalues

The primary conclusion derived in this paper is that the leading principal minors of matrixB-ωA (whereB is a symmetric positive definite matrix andA is Hermite matrix) have properties similar to those of Sturm sequences, which is the theoretical basis of the Determinant Search Method for solving the eigenvalue-problem of damped structural systems 1]–5], correcting the errors in a statement given by K. K. Gupta in 1]–5].