Calculul valorilor si vectorilor proprii

BIBLIOGRAFIE 535
[31] S. Haykin. Adaptive Filter Theory. Prentice Hall, 1991.
[32] N.J. Higham. The Accuracy of Floating Point Summation. SIAM J.Sci. Comput.,
14(4):783–799, July 1993.
[33] N.J. Higham. Stability of the Diagonal Pivoting Method with PartialPivoting.
SIAM J.Matrix Anal.Appl., 18(1):52–65, January 1997.
[34] A.S. Householder. Unitary Triangularization of a Nonsymmetric Matrix. J.
ACM, 5:339–342, 1958.
[35] D. Jacobs, editor. The State of the Art in Numerical Analysis. Academic Press,
1977.
[36] B. Kȧgström, P. Ling, C. Van Loan. High Performance GEMM-Based Level-
3 BLAS: Sample Routines for Double Precision Real Data. In M. Durand,
F. El Dabaghi, editori, High Performance Computing II, pp. 269–281. Elsevier
Science Publishers B.V., 1991.
[37] T. Kato. Perturbation Theory for Linear Operators. Springer-Verlag, 1966.
[38] V.C. Klema, A.J. Laub. The Singular Value Decomposition: Its Computation
and Some Applications. IEEE Trans.Auto.Control, AC-25(2):164–180, April
1980.
[39] V.N. Kublanovskaya. On Some Algorithms for the Solution of the Complete
Eigenvalue Problem. USSR Comp. Math. Phys., 3:637–657, 1961.
[40] C.L. Lawson, R.J. Hanson, F.T Krogh, D.R. Kincaid. Basic Linear Algebra
Subprograms for FORTRAN Usage. ACM Trans.Math.Software, 5:308–323,
1979.
[41] R.S. Martin, C. Reinsch, J.H. Wilkinson. Householder Tridiagonalization of a
Symmetric Matrix. Numerische Mathematik, 11:181–195, 1968.
[42] R.S. Martin, J.H. Wilkinson. Solution of Symmetric and Unsymmetric Band
Equations and the Calculation of Eigenvalues of Band Matrices. Numerische
Mathematik, 9:279–301, 1967.
[43] R.S. Martin, J.H. Wilkinson. Reduction of the Symmetric Eigenproblem
Ax = λBx and Related Problems to Standard Form. Numerische Mathematik,
11:99–110, 1968.
[44] C.B. Moler, G.W. Stewart. An Algorithm for Generalized Matrix Eigenvalue
Problems. SIAM J. Numer. Anal., 10:241–256, 1973.
[45] C.C. Paige. Computing the Generalized Singular Value Decomposition. SIAM
J.Sci.Stat.Comput, 7(4):1126–1146, October 1986.
[46] B.N. Parlett, C. Reinsch. Balancing a Matrix for Calculation of Eigenvalues
and Eigenvectors. Numerische Mathematik, 13:292–304, 1969.