Perturbation Bounds for the Nonlinear Matrix Equation

Author:

Popchev Ivan,Petkov Petko,Konstantinov Mihail,Angelova Vera

Publisher

Springer Berlin Heidelberg

Reference8 articles.

1. Grebenikov, E.A., Ryabov, Y.A.: Constructive Methods for Analysis of Nonlinear Systems, Nauka, Moscow (1979) (in Russian)

2. Hasanov, V.I.: Notes on Two Perturbation Estimates of the Extreme Solutions to the Equations X ±A * X − 1 A = Q. Appl. Math. Comput. 216, 1355–1362 (2010)

3. Long, J.-H., Hu, X.-Y., Zhang, L.: On the Hermitian Positive Definite Solution of the Nonlinear Matrix Equation X + A  ∗  X − 1 A + B  ∗  X − 1 B = I. Bull. Braz. Math. Soc., New Series. Sociedade Brasileira de Matemática, vol. 39(3), pp. 371–386 (2008)

4. Konstantinov, M.M., Gu, D.W., Mehrmann, V., Petkov, P.H.: Perturbation Theory for Matrix Equations. North-Holland, Amsterdam (2003) ISBN 0-444-51315-9

5. Konstantinov, M.M., Petkov, P.H., Angelova, V.A., Popchev, I.P.: Sensitivity of a Complex Fractional–Affine Matrix Equation. In: Jub. Sci. Conf. Univ. Arch. Civil Eng. Geod., Sofia, vol. 8, pp. 495–504 (2002)

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