Parlett, B. N. (1998). The symmetric eigenvalue problem. SIAM.
Here's a write-up based on the book:
Given a symmetric matrix A ∈ ℝⁿˣⁿ, the symmetric eigenvalue problem is to find a scalar λ (the eigenvalue) and a nonzero vector v (the eigenvector) such that:
A very specific request!
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.
You can find the pdf version of the book online; however, be aware that some versions might be unavailable due to copyright restrictions.
Av = λv