- Theorie von Matrixbüscheln, d.h. Ausdrücken der Form λE-A;
- Verallgemeinerte Eigenwertprobleme, d.h. suchen von Paaren (λ,x) mit
Ax=λEx;
- Theorie von Matrixpolynomen, d.h. Polynome P(λ) mit Matrizen als
Koeffizienten;
- polynomielle Eigenwertprobleme, d.h. suchen von Paaren (λ,x) mit
P(λ)x=0;
- Hamiltonische und symplektische Eigenwertprobleme.
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- Ammar, Gregory; Mehrmann, Volker. On Hamiltonian and symplectic Hessenberg forms. Linear Algebra Appl. 149 (1991), 55--72.
- Benner, Peter; Mehrmann, Volker; Xu, Hongguo. A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Numer. Math. 78 (1998), no. 3, 329--358.
- Gohberg, I.; Lancaster, P.; Rodman, L. Matrix polynomials. New York-London, 1982.
- Gohberg, I.; Lancaster, P.; Rodman, L. Indefinite Linear Algebra. Birkhäuser, 2005.
- Golub, Gene H.; Van Loan, Charles F. Matrix computations. Third edition. Johns Hopkins Studies in the Mathematical Sciences. Johns Hopkins University Press, Baltimore, MD, 1996.
- Paige, Chris; Van Loan, Charles. A Schur decomposition for Hamiltonian matrices. Linear Algebra Appl. 41 (1981), 11--32.
- Stewart, G.W. An updating algorithm for subspace tracking. IEEE Trans. Signal Proc., 40:1535-1541, 1992.
- Tisseur, Françoise; Meerbergen, Karl. The quadratic eigenvalue problem. SIAM Rev. 43 (2001), no. 2, 235--286 (electronic).
- Van Loan, C. A symplectic method for approximating all the eigenvalues of a Hamiltonian matrix. Linear Algebra Appl. 61 (1984), 233--251.
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