Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations

Computational Methods of Linear Algebra

A. S. H., D. K. Faddeev, V. N. Faddeeva · Mathematics of Computation · 1964 · 1.6K citations

Numerical Analysis, Engineering, Algebraic Method +3

Fundamentals of Matrix Computations.

G. W. S., David S. Watkins · Mathematics of Computation · 1992 · 861 citations

Numerical Analysis, Engineering, Gaussian Elimination +12

Some Modified Matrix Eigenvalue Problems

Gene H. Golub · SIAM Review · 1973 · 730 citations

Numerical Analysis, Spectral Theory, Mathematical Programming +10

Methods for modifying matrix factorizations

Philip E. Gill, Gene H. Golub, Walter Murray et al. · Mathematics of Computation · 1974 · 580 citations

Matrix Factorizations, Matrix Factorization, Rank-one Change +7

A divide and conquer method for the symmetric tridiagonal eigenproblem

J.J.M. Cuppen · Numerische Mathematik · 1980 · 403 citations

Spectral Theory, Numerical Analysis, Engineering +7