腾讯会议 ID:722-811-073
会议链接:https://meeting.tencent.com/dm/qNV403RKKtel
We consider the generalized eigenvalue problem A x = λB x where A is a real symmetric matrix and B is a real symmetric positive definite matrix. A property of this problem is that all the eigenvalues are real, and it is often needed to compute a number of eigenvalues which are important for applications. In the field of electronic structure calculation, there has emerged a need to find the eigenvalues related to luminescence of organic materials. The targets are small in number, and from the atomic configuration of the material it is determined which eigenvalues need to be computed. In this talk, we present a bisection approach to obtaining the eigenvalues related to the luminescence. By iteratively searching and narrowing the interval within which the target eigenvalues exist, we can find them without computing unrelated eigenvalues.