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

This publication has 8 references indexed in Scilit:

• On the existence of a positive definite solution of the matrix equation X+ATX−1A= I
  Linear Algebra and its Applications, 1993
• Stable Hermitian solutions of discrete algebraic Riccati equations
  Mathematics of Control, Signals, and Systems, 1992
• Factorizations of and extensions to J-unitary rational matrix functions on the unit circle
  Integral Equations and Operator Theory, 1992
• Positive solutions to X = A−BX-1 B∗
  Linear Algebra and its Applications, 1990
• Stability of Invariant Lagrangian Subspaces I
  Published by Springer Nature ,1988
• Stability of invariant maximal semidefinite subspaces. I
  Linear Algebra and its Applications, 1984
• Equivalence, linearization, and decomposition of holomorphic operator functions
  Journal of Functional Analysis, 1978
• An iterative technique for the computation of the steady state gains for the discrete optimal regulator
  IEEE Transactions on Automatic Control, 1971