Sylvester's equation: accuracy and computational stability

Introduction to matrix analysis

Henri Amar · Journal of the Franklin Institute · 1960 · 2.3K citations

Natural Sciences, Mathematics, Systems Analysis +9

Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]

Richard H. Bartels, G. W. Stewart · Communications of the ACM · 1972 · 1.9K citations · Full text

Computing, Computer Science, Algorithms +9

A Hessenberg-Schur method for the problem AX + XB= C

Gene H. Golub, Stephen Nash, Charles Van Loan · IEEE Transactions on Automatic Control · 1979 · 847 citations

Computing, Computational Engineering, Mathematics +13

Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems

G. W. Stewart · SIAM Review · 1973 · 570 citations

Natural Sciences, Computer Science, Computational Mechanics +16

Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides

W. Oettli, William Prager · Numerische Mathematik · 1964 · 401 citations

Natural Sciences, Mathematics, Algorithms +11