Some numerical considerations and Newton's method revisited for solving algebraic Riccati equations

This publication has 18 references indexed in Scilit:

• Defect correction method for the solution of algebraic Riccati equations
  IEEE Transactions on Automatic Control, 1988
• The Sensitivity of the Stable Lyapunov Equation
  SIAM Journal on Control and Optimization, 1988
• Three methods for refining estimates of invariant subspaces
  Computing, 1987
• A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
  IEEE Transactions on Automatic Control, 1986
• Numerical condition of the algebraic Riccati equation
  Contemporary Mathematics, 1985
• A Schur decomposition for Hamiltonian matrices
  Linear Algebra and its Applications, 1981
• Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2]
  ACM Transactions on Mathematical Software, 1976
• Balancing a matrix for calculation of eigenvalues and eigenvectors
  Numerische Mathematik, 1969
• On an iterative technique for Riccati equation computations
  IEEE Transactions on Automatic Control, 1968
• Matrix Quadratic Solutions
  SIAM Journal on Applied Mathematics, 1966