Properties of positive definite solutions of the equation X + A∗XA = I

The Algebraic Eigenvalue Problem

E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations

Spectral Theory, Algebraic Method, Matrix Theory +2

The Theory of Matrices in Numerical Analysis.

Emilie V. Haynsworth, A. S. Householder · American Mathematical Monthly · 1966 · 1.4K citations

Numerical Analysis, Matrix Method, Matrix Theory +2

THE THEORY OF MATRICES IN NUMERICAL ANALYSIS

L. Mirsky · Journal of the London Mathematical Society · 1965 · 1.2K citations

Numerical Analysis, Spectral Theory, Humanities +8

On Direct Methods for Solving Poisson’s Equations

B.L. Buzbee, Gene H. Golub, C. W. Nielson · SIAM Journal on Numerical Analysis · 1970 · 737 citations

Numerical Analysis, Periodic Boundary Conditions, Elliptic Equation +10

Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X +A∗X-1A = Q

Jacob Engwerda, André C. M. Ran, Arie L. Rijkeboer · Linear Algebra and its Applications · 1993 · 192 citations

Positive Definite Solution, Sufficient Conditions, Matrix Theory +1