Analysis and modificaton of Newton’s method for algebraic Riccati equations
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Publication:4396451
DOI10.1090/S0025-5718-98-00947-8zbMath0903.65047OpenAlexW1977243335MaRDI QIDQ4396451
Publication date: 14 June 1998
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-98-00947-8
Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24)
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Uses Software
Cites Work
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- The autonomous linear quadratic control problem. Theory and numerical solution
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- Convergence Rates for Newton’s Method at Singular Points
- On Hermitian Solutions of the Symmetric Algebraic Riccati Equation
- A Hessenberg-Schur method for the problem AX + XB= C
- Newton’s Method at Singular Points. II
- An efficient Schur method to solve the stabilizing problem
- Convergence Acceleration for Newton’s Method at Singular Points
- On Newton’s Method for Singular Problems
- An exact line search method for solving generalized continuous-time algebraic Riccati equations
- Matrix quadratic equations
- A Shamanskii-Like Acceleration Scheme for Nonlinear Equations at Singular Roots
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]