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» Peter Lancaster
Peter Lancaster
Professor Emeritus - Mathematics & Statistics
Faculty Professor
Applied Mathematics
+1 (403) 220-6302
MS 426
lancaste@ucalgary.ca
lancaste@math.ucalgary.ca
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.
Courses
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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