Contact » Peter Lancaster

Peter Lancaster

Professor Emeritus - Mathematics & Statistics
Faculty Professor

Applied Mathematics

+1 (403) 220-6302

MS 426

http://www.math.ucalgary.ca/~lancaste

Research Interests

The solution of linear and nonlinear equations in matrices and operators.
Diverse problems of linear algebra and its applications, perturbation theory
The analysis of numerical methods relevant to spectral and factorization problems for matrix and operator functions stimulated by problems in the theory of vibrations, systems theory and control

Currently Teaching

Not currently teaching any courses.

view past courses

Publications

Book

Gohberg, Israel, Lancaster, Peter and Rodman, Leiba. Indefinite Linear Algebra with Applications Basel: Birkh\"auser Verlag, 2005. 357.
Lancaster, Peter. My life and mathematics 130. Birkh\"auser, 2002. 1-7.
Lancaster, Peter. The role of the {H}amiltonian in the solution of algebraic {R}iccati equations 25. Birkh\"auser, 1999. 157-172.
Lancaster, Peter, Maroulas, John and Zizler, Peter. The numerical range of selfadjoint matrix polynomials 106. Birkh\"auser, 1998. 291-304.
Lancaster, Peter and Matsaev, V. . Definitizable {$G$}-unitary operators and their applications to operator polynomials 87. Birkh\"auser, 1996. 222-232.
Lancaster, Peter and Matsaev, V. . Perturbations of {$G$}-selfadjoint operators and operator polynomials with real spectrum 87. Birkh\"auser, 1996. 207-221.
Lancaster, Peter and Salkauskas, Kes . Transform methods in applied mathematics , John Wiley \& Sons Inc., 1996. xii+332.
Lancaster, Peter and Rodman, Leiba . Algebraic {R}iccati equations , The Clarendon Press Oxford University Press, 1995. xviii+480.
Lancaster, Peter and Rodman, Leiba . Solutions of the continuous and discrete-time algebraic {R}iccati equations: a review , Springer, 1991. 11-51.
Lancaster, Peter and Ye, Qiang . Variational properties and {R}ayleigh quotient algorithms for symmetric matrix pencils 40. Birkh\"auser, 1989. 247-278.
Koltracht, I. and Lancaster, Peter. Condition numbers of {T}oeplitz and block {T}oeplitz matrices 18. Birkh\"auser, 1986. 271-300.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Invariant subspaces of matrices with applications , John Wiley \& Sons Inc., 1986. xviii+692.
Lancaster, Peter and Salkauskas, Kes . Curve and surface fitting Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1986. xii+280.
Lancaster, Peter and Tismenetsky, Miron . The theory of matrices , Academic Press Inc., 1985. xv+570.
Gohberg, I. , Lancaster, Peter and Rodman, L. . A sign characteristic for selfadjoint rational matrix functions 58. Springer, 1984. 363-369.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Matrices and indefinite scalar products 8. Birkh\"auser Verlag, 1983. xvii+374.
Barnett, S. and Lancaster, Peter. Matrices having striped inverse Hemisphere, 1982. 333-336.
Lancaster, Peter. A review of some recent results concerning factorization of matrix and operator valued functions 80. Dekker, 1982. 117-139.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Matrix polynomials Academic Press Inc. 1982. SIAM, 2009., 1982. xiv+409.
Lancaster, Peter. Composite methods for generating surfaces 49. Reidel, 1979. 91-102.
Lancaster, Peter. Moving weighted least-squares methods 49. Reidel, 1979. 103-120.
Lancaster, Peter. A review of numerical methods for eigenvalue problems nonlinear in the parameter Birkh\"auser, 1977. 43-67. Internat. Schriftenreihe zur Numer. Math., Vol. 38.
Lancaster, Peter and Watkins, David S.. Interpolation in the plane and rectangular finite elements Birkh\"auser, 1976. 125-145. Internat. Ser. Numer. Math., Vol. 31.
Terray, John and Lancaster, Peter. A boundary value problem from the study of heat transfer Birkh\"auser, 1975. 303-308. Internat. Schriftenreihe Numer. Math., Band 27.
Lancaster, Peter. Spektraleigenschaften von {O}peratorfunktionen Birkh\"auser, 1970. 53-60. Internat. Schriftenreihe Numer. Math., Vol. 15.
Lancaster, Peter. Theory of matrices Academic Press, 1969. xii+316.
Lancaster, Peter. Lambda-matrices and vibrating systems , Pergamon Press, 1966. xiii+196.
Lancaster, Peter. Lambda-matrices and vibrating systems (1966 and 2002). Pergamon. Dover Publications Inc., 1966. xx+193.

Journal Paper

Freitas, P. and Lancaster, Peter. On the optimal spectral abscissa for a system of linear oscillators. 21. 2010. 195-208.
Lancaster, Peter and Tisseur, F.. Hermitian quadratic matrix polynomials: solvents and inverse problems. (to appear)
Boulton, L. and Lancaster, Peter. Schur decomposition of a matrix and the boundary of the pseudospectrum. (to appear)
Lancaster, Peter and Zaballa, I.. A review of canonical forms for selfadjoint matrix polynomials. (to appear)
Lancaster, Peter and Zaballa, I.. Parametrizing structure preserving transformations of matrix polynomials. (to appear)
Amiraslani, A., Corless, Rob, Lancaster, Peter and Amiraslani, Amirhossein. Linearization of matrix polynomials expressed in polynomial bases 2009.
Lancaster, Peter and Zaballa, I.. Diagonalizable quadratic eigenvalue problems. 23. 2009. 141-157.
Amiraslani, A. and Lancaster, Peter. Rayleigh quotient algorithms for nonsymmetric matrix pencils. 51. 2009. 5-22.
Lancaster, Peter. Model updating for self-adjoint quadratic eigenvalue problems. 428. 2008. 2778-2790.
Lancaster, Peter. Linearization of regular matrix polynomials 17. 2008. 21-27.
Boulton, L., Lancaster, Peter and Psarrakos, P.. On pseudospecrta of matrix polynomials and their boundaries. 77. 2008. 313-334.
Lancaster, Peter. Inverse spectral problems for semi-simple damped vibrating systems. 29. 2007. 302-327.
Lancaster, Peter and Prells, U.. Isospectral families of high-order systems 87. 2007. 219-234.
Lancaster, Peter, Prells, U. and Rodman, L.. Canonical structures for palindromic matrix polynomials 1. 2007. 469-489.
Wu, J-W.,, Lian, K-Y., and Lancaster, Peter. A stabilization criterion for matrices. 422. 2007. 22-28.
Bohl, E. and Lancaster, Peter. Implementation of a Markov model for phylogenetic trees. 239.3 2006. 324-333.
Lancaster, Peter and Psarrakos, P.. On the pseudospectra of matrix polynomials. 27. 2005. 115-129.
Lancaster, Peter and Rodman, L.. Canonical forms for symmetric/skewsymsmetric real matrix pairs under strict equivalence and congruence. 406. 2005. 1-76.
Guo, Chun-Hua and Lancaster, Peter. Algorithms for hyperbolic quadratic eigenvalue problems. 74. 2005. 1777-1791.
Prells, U. and Lancaster, Peter. Isospectral vibrating systems. Part II: Structure preserving transformations. 163. 2005. 275-298.
Lancaster, Peter. Isospectral vibrating systems. Part I: The spectral method. 409. 2005. 51-69.
Lancaster, Peter and Rodman, L.. Canonical forms for hermitian matrix pairs under strict equivalence and congruence. 47. 2005. 407-443.
Lancaster, Peter and Prells, U.. Inverse problems for damped vibrating systems. 283. 2005. 891-914.
Farkas, A., Lancaster, Peter and Rozsa, P.. Approximation of positive matrices by transitive matrices. 50. 2005. 1033-1039.
Lancaster, Peter and Psarrakos, P.. Normal and seminormal eigenvalues of matrix functions. 41. 2003. 331-342.
Lancaster, Peter, Markus, A. S. and Zhou, F.. Perturbation theory for analytic matrix functions: the semisimple case. 25. 2003. 606-626.
Lancaster, Peter and Zhou, Fei. A wider class of stable gyroscopic systems 370. 2003. 257-267.
Farkas, Andr , Lancaster, Peter and R{\'o}zsa, P . Consistency adjustments for pairwise comparison matrices 10.8 2003. 689-700.
Bohl, Erich and Lancaster, Peter. Irreversible Markov processes for phylogenetic models 10.7 2003. 577-593.
Lancaster, Peter, Markus, A.S. and Psarrakos, P.. Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials 44.2 Dover Publications Inc., 2002. 243-253.
Lancaster, Peter and Psarrakos, P.. The numerical range of self-adjoint quadratic matrix polynomials 23.3 Birkhauser, 2002. 615-631 .
Lancaster, Peter. Stabilization of gyroscopic systems 81.10 Birkhauser, 2001. 675-681.
Lancaster, Peter. Normal and seminormal eigenvalues of matrix functions 41.3 Birkhauser, 2001. 331-342.
Lancaster, Peter and Markus, A.S.. A note on factorization of analytic matrix functions. 122. 2001. 323-330.
Kliem, W. , Lancaster, Peter and Pommer, C. . A precise bound for gyroscopic stabilization 80.8 Birkhauser, 2000. 507-516.
Dai, Hua and Lancaster, Peter. Preconditioning block {L}anczos algorithm for solving symmetric eigenvalue problems 18.4 Birkhauser, 2000. 365-374.
Lancaster, Peter and Kliem, W. . Comments on stability properties of conservative gyroscopic systems 66.1 Birkhauser, 1999. 272-273.
Lancaster, Peter and Renshaw, A. A.. A stability criterion for parameter-dependent gyroscopic systems 66.3 Birkhauser, 1999. 660-664.
Freitas, Pedro and Lancaster, Peter. On the optimal value of the spectral abscissa for a system of linear oscillators 21.1 Birkhauser, 1999. 195-208 (electronic).
Guo, Chun and Lancaster, Peter. Iterative solution of two matrix equations 68.228 Birkhauser, 1999. 1589-1603.
Lancaster, Peter. Strongly stable gyroscopic systems 5. Birkhauser, 1999. 53-66 (electronic).
Lancaster, Peter. On the perturbation of analytic matrix functions 34.3 Birkhauser, 1999. 325-338.
Lancaster, Peter and Zizler, Peter. On the stability of gyroscopic systems 65.2 Birkhauser, 1998. 519-522.
Krupnik, Ilya and Lancaster, Peter. Linearization, realization, and scalar products for regular matrix polynomials 272. Birkhauser, 1998. 45-57.
Krupnik, Ilya and Lancaster, Peter. {$H$}-selfadjoint and {$H$}-unitary matrix pencils 19.2 Birkhauser, 1998. 307-324 (electronic).
Krupnik, Ilya and Lancaster, Peter. Minimal pencil realizations of rational matrix functions with symmetries 41.2 Birkhauser, 1998. 178-186.
Guo, Chun and Lancaster, Peter. Analysis and modification of {N}ewton's method for algebraic {R}iccati equations 67.223 Birkhauser, 1998. 1089-1105.
Lancaster, Peter and Zizler, Peter. The order of neutrality for linear operators on inner product spaces 259. Birkhauser, 1997. 25-29.
Dai, Hua and Lancaster, Peter. Newton's method for a generalized inverse eigenvalue problem 4.1 Birkhauser, 1997. 1-21.
Dai, Hua and Lancaster, Peter. Numerical methods for finding multiple eigenvalues of matrices depending on parameters 76.2 Birkhauser, 1997. 189-208.
Hua, Dai and Lancaster, Peter. Linear matrix equations from an inverse problem of vibration theory 246. John Wiley & Sons Inc., 1996. 31-47.
Lancaster, Peter and Matsaev, V. . Factorization of selfadjoint operator polynomials 35.2 John Wiley & Sons Inc., 1996. 337-348.
Lancaster, Peter and R{\'o}zsa, P. . The spectrum and stability of a vibrating rail supported by sleepers 31.4-5 Birkhauser, 1996. 201-213.
Krupnik, Ilya , Lancaster, Peter and Zizler, Peter. Factorization of selfadjoint matrix polynomials with real spectrum 40.4 Birkhauser, 1996. 327-336.
Lancaster, Peter and Rodman, L. . Minimal symmetric factorizations of symmetric real and complex rational matrix functions 220. The Clarendon Press Oxford University Press, 1995. 249-282.
Krupnik, Ilya and Lancaster, Peter. Factorization of selfadjoint quadratic matrix polynomials with real spectrum 39.3 The Clarendon Press Oxford University Press, 1995. 263-272.
Andrew, A. L., Chu, K. E. and Lancaster, Peter. On the numerical solution of nonlinear eigenvalue problems 55.2 The Clarendon Press Oxford University Press, 1995. 91-111.
Lancaster, Peter and Matsaev, V. I.. Definitizable operators and quasihyperbolic operator polynomials 131.1 The Clarendon Press Oxford University Press, 1995. 1-28.
Lancaster, Peter and Ye, Qiang . Low rank perturbations of strongly definitizable transformations and matrix polynomials 197/198. The Clarendon Press Oxford University Press, 1994. 3-29.
Lancaster, Peter and Rodman, L. . Invariant neutral subspaces for symmetric and skew real matrix pairs 46.3 The Clarendon Press Oxford University Press, 1994. 602-618.
Lancaster, Peter and Shkalikov, A. . Damped vibrations of beams and related spectral problems 2.1 The Clarendon Press Oxford University Press, 1994. 45-90.
Lancaster, Peter, Shkalikov, A. and Ye, Qiang . Strongly definitizable linear pencils in {H}ilbert space 17.3 The Clarendon Press Oxford University Press, 1993. 338-360.
Lancaster, Peter and Ye, Qiang . Definitizable {H}ermitian matrix pencils 46.1-2 1993. 44-55.
Lancaster, Peter and Ye, Qiang . Rayleigh-{R}itz and {L}anczos methods for symmetric matrix pencils 185. 1993. 173-201.
Bohl, Erich and Lancaster, Peter. Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks 180. 1993. 35-59.
Andrew, Alan L., Chu, K. and Lancaster, Peter. Derivatives of eigenvalues and eigenvectors of matrix functions 14.4 The Clarendon Press Oxford University Press, 1993. 903-926.
Gohberg, I. , Koltracht, I. and Lancaster, Peter. Second order parallel algorithms for piecewise smooth displacement kernels 15.1 1992. 16-29.
Barkwell, Lawrence and Lancaster, Peter. Overdamped and gyroscopic vibrating systems 59.1 1992. 176-181.
Jameson, Antony , Kreindler, Eliezer and Lancaster, Peter. Symmetric, positive semidefinite, and positive definite real solutions of {$AX=XA\sp {\ssf T}$} and {$AX=YB$} 160. 1992. 189-215.
Barkwell, Lawrence and Lancaster, Peter. Gyroscopically stabilized systems: a class of quadratic eigenvalue problems with real spectrum 44.1 1992. 42-53.
Andrew, Alan L., Chu, K. and Lancaster, Peter. Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter 5.3 1992. 69-72.
Farid, F. O. and Lancaster, Peter. Spectral Properties of Diagonally Dominant Infinite Matrices. II 143. Springer, 1991. 7-17.
Bruckstein, Alfred , Kailath, Thomas , Koltracht, Israel and Lancaster, Peter. On the reconstruction of layered media from reflection data 12.1 Springer, 1991. 24-40.
Lancaster, Peter and Ye, Qiang . Variational and numerical methods for symmetric matrix pencils 43.1 Springer, 1991. 1-17.
Elsner, L. , Koltracht, I. and Lancaster, Peter. Convergence properties of {ART} and {SOR} algorithms 59.1 Springer, 1991. 91-106.
Koltracht, Israel , Lancaster, Peter and Smith, Digby . The structure of some matrices arising in tomography 130. Springer, 1990. 193-218.
Koltracht, I. and Lancaster, Peter. Constraining strategies for linear iterative processes 10.4 Springer, 1990. 555-567.
Gohberg, I. , Koltracht, I. and Lancaster, Peter. On the numerical solution of integral equations with piecewise continuous displacement kernels 12.4 Birkhauser, 1989. 511-538.
Farid, F. O. and Lancaster, Peter. Spectral Properties of Diagonally Dominant Infinite Matrices, Part I. 111A.3-4 Birkhauser, 1989. 301-314.
Gohberg, I. , Kaashoek, M. A. and Lancaster, Peter. General theory of regular matrix polynomials and band {T}oeplitz operators 11.6 Birkhauser, 1988. 776-882.
Lancaster, Peter and Ye, Qiang . Inverse spectral problems for linear and quadratic matrix pencils 107. Birkhauser, 1988. 293-309.
Koltracht, I. and Lancaster, Peter. Generalized {S}chur parameters and the effects of perturbations 105. Birkhauser, 1988. 109-129.
Lancaster, Peter and Maroulas, J. . Selective perturbation of spectral properties of vibrating systems using feedback 98. Birkhauser, 1988. 309-330.
Gohberg, I. , Koltracht, I. and Lancaster, Peter. Second order parallel algorithms for {F}redholm integral equations with continuous displacement kernels 10.4 Birkhauser, 1987. 577-594.
Lancaster, Peter and Maroulas, J. . Inverse eigenvalue problems for damped vibrating systems 123.1 Birkhauser, 1987. 238-261.
Lancaster, Peter. Alexander {M}. {O}strowski, 1893-1986 33.2-3 Birkhauser, 1987. 121-122.
Gohberg, I. , Kailath, T. , Koltracht, I. and Lancaster, Peter. Linear complexity parallel algorithms for linear systems of equations with recursive structure 88/89. Birkhauser, 1987. 271-315.
Lancaster, Peter, Ran, A. C. M. and Rodman, L. . An existence and monotonicity theorem for the discrete algebraic matrix {R}iccati equation 20.4 Birkhauser, 1987. 353-361.
Koltracht, I. and Lancaster, Peter. A definiteness test for {H}ankel matrices and their lower submatrices 39.1 Birkhauser, 1987. 19-26.
Lancaster, Peter. Common eigenvalues, divisors, and multiples of matrix polynomials: a review 84. John Wiley & Sons Inc., 1986. 139-160.
Gohberg, I. , Lancaster, Peter and Rodman, L. . On {H}ermitian solutions of the symmetric algebraic {R}iccati equation 24.6 John Wiley & Sons Inc., 1986. 1323-1334.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Quadratic matrix polynomials with a parameter 7.3 John Wiley & Sons Inc., 1986. 253-281.
Lancaster, Peter, Ran, A. C. M. and Rodman, L. . Hermitian solutions of the discrete algebraic {R}iccati equation 44.3 John Wiley & Sons Inc., 1986. 777-802.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Perturbation of analytic {H}ermitian matrix functions 20.1-2 John Wiley & Sons Inc., 1985. 23-48.
Elsner, L. and Lancaster, Peter. The spectral variation of pencils of matrices 3.3 John Wiley & Sons Inc., 1985. 262-274.
Lancaster, Peter and Maroulas, J. . The kernel of the {B}ezoutian for operator polynomials 17.3-4 John Wiley & Sons Inc., 1985. 181-201.
Lancaster, Peter, Lerer, L. and Tismenetsky, M. . Factored forms for solutions of {$AX-XB=C$} and {$X-AXB=C$} in companion matrices 62. Springer, 1984. 19-49.
Lancaster, Peter and R{\'o}zsa, P. . Eigenvectors of {$H$}-selfadjoint matrices 64.9 Springer, 1984. 439-441.
Gohberg, Israel , Lancaster, Peter and Rodman, Leiba . A sign characteristic for selfadjoint meromorphic matrix functions 16.3 Birkhauser Verlag, 1983. 165-185.
Lancaster, Peter and Tismenetsky, M. . Inertia characteristics of selfadjoint matrix polynomials 52/53. Birkhauser Verlag, 1983. 479-496.
Lancaster, Peter and R{\'o}zsa, P. . On the matrix equation {$AX+X\sp{\ast} A\sp{\ast} =C$} 4.4 Birkhauser Verlag, 1983. 432-436.
Lancaster, Peter and Tismenetsky, M. . Some extensions and modifications of classical stability tests for polynomials 38.2 Birkhauser Verlag, 1983. 369-380.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Perturbations of {$H$}-selfadjoint matrices, with applications to differential equations 5.5 Hemisphere, 1982. 718-757.
Lancaster, Peter and Pattabhiraman, M. V.. The local determination of {J}ordan bases for {$H$}-selfadjoint operators 48. Dekker, 1982. 191-199.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Factorization of selfadjoint matrix polynomials with constant signature 11.3 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1982. 209-224.
Lancaster, Peter and Salkauskas, Kes . Surfaces generated by moving least squares methods 37.155 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1981. 141-158.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Spectral analysis of selfadjoint matrix polynomials 112.1 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1980. 33-71.
Barnett, S. and Lancaster, Peter. Some properties of the {B}ezoutian for polynomial matrices 9.2 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1980. 99-110.
Lancaster, Peter and Rodman, L. . Existence and uniqueness theorems for the algebraic {R}iccati equation 32.2 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1980. 285-309.
Gohberg, I. , Lancaster, Peter and Rodman, L. . On selfadjoint matrix polynomials 2.3 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1979. 434-439.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Perturbation theory for divisors of operator polynomials 10.6 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1979. 1161-1183.
Lancaster, Peter. Solving quadratic equations 1.3 Academic Press Inc. [Harcourt Brace Jovanovich Publishers], 1979. 23-36.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Representations and divisibility of operator polynomials 30.5 1978. 1045-1069.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Spectral analysis of matrix polynomials. {I}. {C}anonical forms and divisors 20.1 1978. 1-44.
Gohberg, I. , Lancaster, Peter and Rodman, L. . Spectral analysis of matrix polynomials. {II}. {T}he resolvent form and spectral divisors 21.1 1978. 65-88.
Lancaster, Peter and Rokne, Jon G.. Solutions of nonlinear operator equations 8.3 Birkhauser, 1977. 448-457.
Terray, J. and Lancaster, Peter. On the numerical calculation of eigenvalues and eigenvectors of operator polynomials 60.2 1977. 370-378.
Lancaster, Peter. A fundamental theorem on lambda-matrices with applications. {II}. {D}ifference equations with constant coefficients 18.3 Birkhauser, 1977. 213-222.
Lancaster, Peter. A fundamental theorem on lambda-matrices with applications. {I}. {O}rdinary differential equations with constant coefficients 18.3 Birkhauser, 1977. 189-211.
Watkins, D. S. and Lancaster, Peter. Some families of finite elements 19.4 Birkhauser, 1977. 385-397.
Lancaster, Peter. Interpolation in a rectangle and finite elements of high degree 18.1 Birkhauser, 1976. 67-77.
Lancaster, Peter and Wimmer, Harald K.. Zur {T}heorie der {$\lambda $}-{M}atrizen 68. Birkhauser, 1975. 325-330.
Schmidt, Eckard , Lancaster, Peter and Watkins, David . Bases of splines associated with constant coefficient differential operators 12.4 Birkhauser, 1975. 630-645.
Cross, G. W. and Lancaster, Peter. Square roots of complex matrices 1. Birkhauser, 1973/74. 289-293.
Lancaster, Peter and Farahat, Hanafi K.. Norms on direct sums and tensor products 26. Birkhauser, 1972. 401-414.
Lancaster, Peter. A note on sub-multiplicative norms 19. Birkhauser, 1972. 206-208.
Schmidt, Eckard and Lancaster, Peter. {$L$}-splines for constant coefficient differential operators Birkhauser, 1971. 457-462.
Lancaster, Peter. Some questions in the classical theory of vibrating systems 17(21).1-2, part 1 Birkhauser, 1971. 125-132.
Lancaster, Peter. Jordan chains for lambda matrices. {II} 5. Birkhauser, 1970. 290-293.
Lancaster, Peter. Explicit solutions of linear matrix equations 12. Birkhauser, 1970. 544-566.
Pattabhiraman, M. V. and Lancaster, Peter. Spectral properties of a polynomial operator 13. Birkhauser, 1969. 247-259.
Rokne, J. and Lancaster, Peter. Automatic errorbounds for the approximate solution of equations 4. Birkhauser, 1969. 294-303.
Lancaster, Peter and Webber, P. N.. Jordan chains for lambda matrices 1. Academic Press, 1968. 563-569.
Lancaster, Peter. Error analysis for the {N}ewton-{R}aphson method 9. Academic Press, 1966. 55-68.
Lancaster, Peter. Convergence of the {N}ewton-{R}aphson method for arbitrary polynomials 48. Academic Press, 1964. 291-295.
Lancaster, Peter. Bounds for latent roots in damped vibration problems 6. Academic Press, 1964. 121-125.
Lancaster, Peter. On eigenvalues of matrices dependent on a parameter 6. Academic Press, 1964. 377-387.
Lancaster, Peter. Algorithms for lambda-matrices 6. Academic Press, 1964. 388-394.
Lancaster, Peter. Some applications of the {N}ewton-{R}aphson method to non-linear matrix problems 271. 1963. 324-331.
Lancaster, Peter. On regular pencils of matrices arising in the theory of vibrations 16. 1963. 253-257.
Lancaster, Peter. A generalized {R}ayleigh quotient iteration for lambda-matrices 8. 1961. 309-322.
Lancaster, Peter. Free vibrations of lightly damped systems by perturbations methods. 13. 1960. 138-155.
Lancaster, Peter. Inversion of lambda-matrices and application to the theory of linear vibrations 6. 1960. 105-114.

Preprint

Lancaster, Peter. Lectures on Linear Algebra, Control, and Stability 1998.

$Photograph of Peter Lancaster$

Degrees

1952 - B.Sc. - University of Liverpool
1956 - M.Sc. - University of Liverpool
1964 - Ph.D. - University of Singapore
1987 - D.Sc. - University of Liverpool

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