Bibliography
=============




Books/articles/proceedings/theses...
-----------------------------------

[:ref:`DB08 <DB08>`] G.Dahlquist & A.Bjorck. *Numerical methods in scientific computing*. SIAM (2008).

[:ref:`GLR82 <GLR82>`] I.Gohberg, P.Lancaster, and L.Rodman. *Polynomial matrix*. Ed. Academic Press (1982).

[:ref:`Jen77 <Jen77>`] A.Jennings. *Matrix computation for engineers and scientists*. Ed. Wisley (1977).

[:ref:`LT85 <LT85>`] P.Lancaster and M.Tsimenetsky. *The theory of matrices*. Ed. Academic Press (1985).

[:ref:`Mac06 <Mac06>`] D.S. Mackey. *Structured linearizations for matrix polynomials*. Thesis from the University of Manchester (2006).

[:ref:`Mee07 <Mee07>`] K.Meerbergen. *The quadratic Arnoldi method for the solution of the QEP*. Internal report of the University of Leuven (2007).

[:ref:`Mul56 <Mul56>`] D.E.Muller. *A method for solving algebraic equations using an automatic computer*. Math. Tab. Wash., 10, pp208-215 (1956).

[:ref:`PS87 <PS87>`] B.N.Parlett & Y.Saad. *Complex shift and invert strategies for real matrices*. Linear algebra and its applications, 88-89, pp575-595 (1987).

[:ref:`TM01 <TM01>`] F.Tisseur & K.Meerbergen. *The quadratics eigenvalue problem*. SIAM review, vol. 43, no. 2, pp235-286 (2001).




Reports/reports EDF
--------------------------

[:ref:`Beg06 <Beg06>`] Mr. Begon. *Implementation of modal solvers in Code_Aster*. INSTN Master Report (2006).

[:ref:`BQ00 <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/>.

[:ref:`Boi08 <Boi08>`] O.Boiteau. *Overview of direct linear solvers and use of product MUMPS*. *Code_Aster* R6.02.03 (2008) Reference Documentation.

[:ref:`Boi08b <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).

[:ref:`Boi09 <Boi09>`] O.Boiteau. *Modal solvers and generalized problem solving (GEP)*. *Code_Aster* R5.01.01 (2009) Reference Documentation.

[:ref:`Boi09b <Boi09b>`] O.Boiteau. *Overview of the conjugate gradient: GCPC Aster and use of the PETSc product.* *Code_Aster* R6.01.02 (2009) Reference Documentation.

[:ref:`Boi12 <Boi12>`] O.Boiteau. *Procedure for counting eigenvalues*. *Code_Aster* R5.01.04 (2012) Reference Documentation.

[:ref:`Lev96 <Lev96>`] J.R.Levesque. *Modeling of damping in linear dynamics*. *Code_Aster* R5.05.04 (1996) Reference Documentation.




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 />.