Geodesic
A modification of Schur's method for solving a matrix algebraic Riccati equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 3, pp. 348-359 Cet article a éte moissonné depuis la source Math-Net.Ru

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M. S. Sagitov. A modification of Schur's method for solving a matrix algebraic Riccati equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 3, pp. 348-359. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_3_a1/

[1] Laub A. J., “A Schur method for solving algebraic Riccati equations”, IEEE Trans. Automat. Control, 24 (1979), 913–921 | DOI | MR | Zbl

[2] Maltsev A. I., Osnovy lineinoi algebry, Nauka, M., 1970

[3] Ikramov Kh. D., Zadachnik po lineinoi algebre, Nauka, M., 1975 | MR

[4] Uonem M., Lineinye mnogomernye sistemy upravleniya, Nauka, M., 1980

[5] Bunse-Gerstner A., Mehrmann V., “A sypmlectic QR like algorithm for the solution of the real algebraic Riccati equation”, IEEE Trans. Automat. Control, 31 (1986), 1104–1111 | DOI | MR

[6] Byers R., “Solving the algebraic Riccati equation with the matrix sign function”, Linear Algebra and its Appl., 85 (1987), 267–279 | DOI | MR | Zbl

[7] Paige Ch., Van Loan Ch., “A Schur decomposition for Hamiltonian matrices”, Linear Algebra and its Appl., 41 (1981), 11–32 | DOI | MR | Zbl

[8] Van Loan Ch., “A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix”, Linear Algebra and its Appl., 61 (1984), 233–251 | DOI | MR | Zbl

[9] Byers R., “A Hamiltonian QR-algorithm”, SIAM J. Scient. and Statist. Comput., 7 (1986), 212–229 | DOI | MR | Zbl

[10] Byers R., “A Hamiltonian-Jacobi algorithm”, IEEE Trans. Automatic Control, 35 (1990), 566–570 | DOI | MR | Zbl

[11] Ikramov X. D., “Chislennoe reshenie matrichnykh uravnenii i simplekticheskaya matrichnaya algebra”, Vychisl. protsessy i sistemy, 5, Nauka, M., 1987, 154–163 | MR

[12] Stewart, “Algorithm 506. HQR3 and EXCHNG: Fortran subroutines for calculating and ordering the eigenvalues of a real upper Hessenberg matrix”, ACM Trans. Math. Software, 2 (1976), 275–280 | DOI

[13] Golub G., Van Loan C., Matrix computations, Acad. Press, N. Y., 1983 | MR | Zbl

[14] Smith T., Boyle J., Garbow B. et al., EISPACK Guide, Springer, N. Y., 1974