Lancaster, P., and Prells, U., "Inverse problems for damped vibrating systems", Journal of Sound and Vibration, vol. 283, 2005, 891-914.
Guo, Chun-Hua, and Lancaster, P., "Algorithms for hyperbolic quadratic eigenvalue problems", Math. of Computation, vol. 74, 2005, 1777-1791.
Lancaster, P., and Psarrakos, P., "On the pseudospectra of matrix polynomials", SIAM J. Matrix Anal. and Appl., vol. 27, 2005, 115-129.
Lancaster, P., "Isospectral vibrating systems. Part I: The spectral method", Linear Algebra and its Applications, vol. 409, 2005, 51-69.
Prells, U., and Lancaster, P., "Isospectral vibrating systems. Part II: Structure preserving transformations". Operator Theory: Advances and Applications, (tvol. 163, 2005, 275-298.
Lancaster, P., and Rodman, L., "Canonical forms for hermitian matrix pairs under strict equivalence and congruence", SIAM Review, vol. 47, 2005, 407-443.
Lancaster, P., and Rodman, L., "Canonical forms for symmetrix/skewsymmetric real matrix pairs under strict equivalence and congruence", Linear Algebra and its Applications, vol. 406,406, 2005, 1-76.
Bohl, E., and Lancaster, P., "Implementation of a Markov model for phylogenetic trees", Journal of Theoretical Biology, vol. 239, 2006, 324-333.
Lancaster, P., "Inverse spectral problems for semi-simple damped vibrating systems", SIAM Journal on Matrix Anal. and Appl., vol.29, 2007, 302-327.
Wu, J-W., Lian, K-Y., and Lancaster, P., "A stabilization criterion for matrices", Linear Algebra and its Applications, vol. 422, 2007, 22-28.
Boulton, L., Lancaster, P., and Psarrakos, P., "On pseudospectra of matrix polynomials and their boundaries" Mathematics of Computation, vol. 77, 2008, 313-334.
Bohl, E., Hamilton, R., and Lancaster, P., "Phylogenetic trees for vertebrate species predicted by an irreversible Markov process". Manchester Inst. for Math. Sciences: MIMS Preprint 2008.58.
Lancaster, P., and Prells, U., "Isospectral families of high-order systems" Zeit.f.Ang.Math.u.Mech., vol. 87, 2007, 219-234.
Lancaster, P., Prells, U., and Rodman, L., "Canonical structures for palindromic matrix polynomials". Operators and Matrices, vol. 1, 2007,469-489.
Amiraslani, A., Corless, R.M., and Lancaster, P., "Linearization of matrix polynomials expressed in polynomial bases". IMA Journal of Numerical Analysis, (to appear).
Lancaster, P., "Model updating for self-adjoint quadratic eigenvalue problems." Linear Algebra and its Applications, vol. 428, 2008, 2778-2790.
Lancaster, P., "Linearization of regular matrix polynomials." Electronic Journal of Linear Algebra, vol. 17, 2008, 21-27.
Lancaster, P., and Zaballa, I., "Diagonalizable quadratic eigenvalue problems". Mechanical Systems and Signal Processing, (to appear).
Lancaster, P., "My life and mathematics", In ``Linear Operators and Matrices'', Eds. I. Gohberg, and H. Langer, Operator Theory Advances and Applications, vol 130, Birkhauser, Basel, (2002), 1-7.