The symmetric eigenvalue problem is a fundamental problem in linear algebra and numerical analysis. The book you're referring to is likely "The Symmetric Eigenvalue Problem" by Beresford N. Parlett.
References:
Here's a write-up based on the book:
The symmetric eigenvalue problem is a classic problem in linear algebra, which involves finding the eigenvalues and eigenvectors of a symmetric matrix. The problem is symmetric in the sense that the matrix is equal to its transpose. This problem has numerous applications in various fields, including physics, engineering, computer science, and statistics. parlett the symmetric eigenvalue problem pdf