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, vol. 23, 2009, 1134-1144.

Amiraslani, A., Corless, R.M., and Lancaster, P., "Linearization of matrix polynomials expressed in polynomial bases." IMA Journal of Numerical Analysis, vol. 29, 2009, 141-157.

Amiraslani, A., and Lancaster, P., "Rayleigh quotient algorithms for nonsymmetric matrix pencils." Numerical Algorithms, vol. 51, 2009, 5-22.

Boulton, L., and Lancaster, P., "Schur decomposition of a matrix and the boundary of its pseudospectrum." SIAM J. Matrix Anal. and Appl., vol. 31, 2010, 2921-2933.

Lancaster, P., and Tisseur, F., "Hermitian quadratic matrix polynomials: solvents and inverse problems." Linear Algebra and its Applications, vol. 436, 2012, 4017-4026.

Lancaster, P., and Zaballa, I., "Parametrizing structure preserving transformations of matrix polynomials". In "A Panorama of Modern Operator Theory and Related Topics", Operator Theory: Advances and Applications, vol. 218, 2012, 403-424.

Lancaster, P., and Zaballa, I., "A review of canonical forms for selfadjoint matrix polynomials." In "A Panorama of Modern Operator Theory and Related Topics," Operator Theory: Advances and Applications, vol. 218, 2012, 425-443.

Chorianopoulos, C., and Lancaster, P., "Inverse problems for Hermitian quadratic matrix polynomials." Indagationes Mathematicae, vol. 23, 2012, 1070-1086.

Garvey, S.D., Lancaster, P., Popov, A.A., Prells, U., and Zaballa, I., "Filters for quadratic systems." Linear Algebra and its Applications, vol. 438, 2013, 1497-1516.

Lancaster, P., Prells, U., and Zaballa, I., "An orthogonality property for real symmetric matrix polynomials and application to the inverse problem." Operators and Matrices, vol. 7, 2013, 357-379.

Lancaster, P., "Stability of linear gyroscopic systems: a review." Linear Algebra and its Applications, vol. 439, 2013, 686-706.

Lancaster, P., and Zaballa, I., "On the sign-characteristics of selfadjoint matrix polynomials." Operator Theory: Advances and Applications, vol. 237, 2013, 189-196.

Chorianopoulos, C., and Lancaster, P., "An inverse problem for gyroscopic systems." Linear Algebra and its Applications, vol. 465, 2014, 188-203.

Hagedorn, P., Heffel, E., Lancaster, P., Muller, P.C., and Kapura, S., "Some recent results on MDGKN-systems." Z. Angew. Math. Mech., vol. 30, 2015, 670-692.

Colakoglu, N., and Lancaster, P., "Spectral properties of finite-dimensional waveguide systems." Elec. Jour. of Linear Algebra, vol. 30, 2015, 670-692.

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.