6. Bibliography#
6.1. Books/articles/proceedings/theses…#
[DB08] G.Dahlquist & A.Bjorck. Numerical methods in scientific computing. SIAM (2008).
[GLR82] I.Gohberg, P.Lancaster, and L.Rodman. Polynomial matrix. Ed. Academic Press (1982).
[Jen77] A.Jennings. Matrix computation for engineers and scientists. Ed. Wisley (1977).
[LT85] P.Lancaster and M.Tsimenetsky. The theory of matrices. Ed. Academic Press (1985).
[Mac06] D.S. Mackey. Structured linearizations for matrix polynomials. Thesis from the University of Manchester (2006).
[Mee07] K.Meerbergen. The quadratic Arnoldi method for the solution of the QEP. Internal report of the University of Leuven (2007).
[Mul56] D.E.Muller. A method for solving algebraic equations using an automatic computer. Math. Tab. Wash., 10, pp208-215 (1956).
[PS87] B.N.Parlett & Y.Saad. Complex shift and invert strategies for real matrices. Linear algebra and its applications, 88-89, pp575-595 (1987).
[TM01] F.Tisseur & K.Meerbergen. The quadratics eigenvalue problem. SIAM review, vol. 43, no. 2, pp235-286 (2001).
6.2. Reports/reports EDF#
[Beg06] Mr. Begon. Implementation of modal solvers in Code_Aster. INSTN Master Report (2006).
[BQ00] O.Boiteau & B.Quinnez. Spectral analysis method in Code_Aster. Dynamics course booklet available on the website `https://www.code-aster.org`_ < https://www.code-aster.org/> ``_(2000) < https://www.code-aster.org/>.
[Boi08] O.Boiteau. Overview of direct linear solvers and use of product MUMPS. Code_Aster R6.02.03 (2008) Reference Documentation.
[Boi08b] O.Boiteau. “Integration of a QZ modal solver in Code_Aster” and” Extension of the QZ and Sorensen solvers to the non-symmetric modal problems of Code_Aster”. Internal reports EDF R&D CR-I23/2008/030 and CR-I23/2008/044 (2008).
[Boi09] O.Boiteau. Modal solvers and generalized problem solving (GEP). Code_Aster R5.01.01 (2009) Reference Documentation.
[Boi09b] O.Boiteau. Overview of the conjugate gradient: GCPC Aster and use of the PETSc product. Code_Aster R6.01.02 (2009) Reference Documentation.
[Boi12] O.Boiteau. Procedure for counting eigenvalues. Code_Aster R5.01.04 (2012) Reference Documentation.
[Lev96] J.R.Levesque. Modeling of damping in linear dynamics. Code_Aster R5.05.04 (1996) Reference Documentation.
6.3. Internet resources#
[Arp] ARPACK website: `http://www.caam.rice.edu/software/ARPACK < http://www.caam.rice.edu/software/ARPACK /> /`_ ``_ < http://www.caam.rice.edu/software/ARPACK />.