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Lancaster, Peter

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Author ID: lancaster.peter Recent zbMATH articles by "Lancaster, Peter"
Published as: Lancaster, P.; Lancaster, Peter
Homepage: https://people.ucalgary.ca/~lancaste/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 187 Publications since 1960, including 20 Books
Biographic References: 4 Publications
all top 5

Serials

33 Linear Algebra and its Applications
10 Integral Equations and Operator Theory
10 SIAM Journal on Matrix Analysis and Applications
7 Linear and Multilinear Algebra
7 Numerische Mathematik
6 Mathematics of Computation
5 Operator Theory: Advances and Applications
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 International Journal of Control
3 Canadian Journal of Mathematics
3 Computing
3 Aequationes Mathematicae
3 SIAM Review
3 Numerical Linear Algebra with Applications
3 ELA. The Electronic Journal of Linear Algebra
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 IMA Journal of Numerical Analysis
2 Journal of the Institute of Mathematics and its Applications
2 Journal of Mathematical Analysis and Applications
2 Quarterly Journal of Mechanics and Applied Mathematics
2 Journal of Computational Mathematics
2 SIAM Journal on Mathematical Analysis
2 Classics in Applied Mathematics
2 Canadian Mathematical Society Series of Monographs and Advanced Texts
2 Operators and Matrices
1 Bulletin of the Australian Mathematical Society
1 Journal of Applied Mechanics
1 Journal of Sound and Vibration
1 The Mathematical Gazette
1 Menemui Matematik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Canadian Mathematical Bulletin
1 The Computer Journal. Section A / Section B
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 SIAM Journal on Control and Optimization
1 Journal of Operator Theory
1 Advances in Applied Mathematics
1 SIAM Journal on Algebraic and Discrete Methods
1 Applied Mathematics Letters
1 Numerical Algorithms
1 Buletinul Institutului Politehnic din Iaşi. Secţia I
1 Communications of the ACM
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Indagationes Mathematicae. New Series
1 The Canadian Applied Mathematics Quarterly
1 Annals of Mathematics. Second Series
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH

155 Publications have been cited 5,729 times in 4,089 Documents Cited by Year
The theory of matrices. 2nd ed., with applications. Zbl 0558.15001
Lancaster, Peter; Tismenetsky, Miron
788
1985
Surfaces generated by moving least squares methods. Zbl 0469.41005
Lancaster, P.; Salkauskas, K.
567
1981
Inertia characteristics of self-adjoint matrix polynomials. Zbl 0516.15018
Lancaster, P.; Tismenetsky, M.
485
1983
Theory of matrices. Zbl 0186.05301
Lancaster, P.
460
1969
Matrix polynomials. Zbl 0482.15001
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
425
1982
Algebraic Riccati equations. Zbl 0836.15005
Lancaster, Peter; Rodman, Leiba
399
1995
Invariant subspaces of matrices with applications. Zbl 0608.15004
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
245
1986
Lambda-matrices and vibrating systems. Zbl 0146.32003
Lancaster, P.
178
1966
Matrices and indefinite scalar products. Zbl 0513.15006
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
158
1983
Curve and surface fitting. An introduction. Zbl 0649.65012
Lancaster, Peter; Salkauskas, Kestutis
130
1986
Explicit solutions of linear matrix equations. Zbl 0209.06502
Lancaster, P.
95
1970
Indefinite linear algebra and applications. Zbl 1084.15005
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
93
2005
Iterative solution of two matrix equations. Zbl 0940.65036
Guo, Chun-Hua; Lancaster, Peter
78
1999
Linear matrix equations from an inverse problem of vibration theory. Zbl 0861.15014
Hua, Dai; Lancaster, Peter
62
1996
Spectral analysis of matrix polynomials. I. Canonical forms and divisors. Zbl 0375.15008
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
59
1978
On eigenvalues of matrices dependent on a parameter. Zbl 0133.26201
Lancaster, P.
59
1964
Existence and uniqueness theorems for the algebraic Riccati equation. Zbl 0439.49011
Lancaster, Peter; Rodman, Leiba
53
1980
Spectral analysis of selfadjoint matrix polynomials. Zbl 0446.15007
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
52
1980
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
49
1993
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. Zbl 1087.15014
Lancaster, Peter; Rodman, Leiba
48
2005
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
42
2009
Matrix polynomials. Reprint of the 1982 original. Zbl 1170.15300
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
38
2009
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. Zbl 1081.15007
Lancaster, P.; Rodman, L.
30
2005
Linear complexity parallel algorithms for linear systems of equations with recursive structure. Zbl 0624.65020
Gohberg, I.; Kailath, T.; Koltracht, I.; Lancaster, P.
30
1987
Invariant subspaces of matrics with applications. Reprint of the 1986 original. Zbl 1093.15502
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
29
2006
General theory of regular matrix polynomials and band Toeplitz operators. Zbl 0671.15012
Gohberg, I.; Kaashoek, M. A.; Lancaster, P.
29
1988
On Hermitian solutions of the symmetric algebraic Riccati equation. Zbl 0607.93013
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
27
1986
Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices. Zbl 0552.15008
Lancaster, P.; Lerer, L.; Tismenetsky, M.
26
1984
Overdamped and gyroscopic vibrating systems. Zbl 0756.70021
Barkwell, Lawrence; Lancaster, Peter
24
1992
Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors. Zbl 0385.15007
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
24
1978
Square roots of complex matrices. Zbl 0283.15008
Cross, G. W.; Lancaster, P.
24
1974
On the pseudospectra of matrix polynomials. Zbl 1095.65032
Lancaster, Peter; Psarrakos, Panayiotis
22
2005
Factorization of selfadjoint matrix polynomials with constant signature. Zbl 0486.15008
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
22
1982
Complex interval arithmetic. Zbl 0213.16302
Rokne, J.; Lancaster, P.
21
1971
Error analysis for the Newton-Raphson method. Zbl 0173.17801
Lancaster, P.
21
1966
Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009
Lancaster, P.; Markus, A. S.; Zhou, F.
20
2003
Lambda-matrices and vibrating systems. Reprint of the 1966 original. Zbl 1048.34002
Lancaster, Peter
20
2002
On the perturbation of analytic matrix functions. Zbl 0940.47008
Hryniv, R.; Lancaster, P.
20
1999
Analysis and modification of Newton’s method for algebraic Riccati equations. Zbl 0903.65047
Guo, Chun-Hua; Lancaster, Peter
20
1998
Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
19
1986
Inverse problems for damped vibrating systems. Zbl 1237.70059
Lancaster, P.; Prells, U.
18
2005
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
18
1993
Representations and divisibility of operator polynomials. Zbl 0363.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
18
1978
A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients. Zbl 0388.15003
Lancaster, Peter
18
1977
Strongly stable gyroscopic systems. Zbl 0921.47015
Lancaster, Peter
17
1999
Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S.
17
1992
Some properties of the Bezoutian for polynomial matrices. Zbl 0504.15002
Barnett, S.; Lancaster, P.
17
1980
A generalized Rayleigh quotient iteration for lambda-matrices. Zbl 0105.31705
Lancaster, P.
16
1961
Inverse eigenvalue problems for damped vibrating systems. Zbl 0637.34017
Lancaster, P.; Maroulas, J.
15
1987
Perturbations of H-selfadjoint matrices, with applications to differential equations. Zbl 0511.15010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
15
1982
Linearization of regular matrix polynomials. Zbl 1147.15009
Lancaster, Peter
14
2008
Inverse spectral problems for semisimple damped vibrating systems. Zbl 1132.74017
Lancaster, Peter
14
2007
Eigenvectors of H-selfadjoint matrices. Zbl 0555.15005
Lancaster, P.; Rózsa, P.
14
1984
Inversion of lamdba-matrices and application to the theory of linear vibrations. Zbl 0093.30902
Lancaster, P.
14
1960
On pseudospectra of matrix polynomials and their boundaries. Zbl 1141.65026
Boulton, Lyonell; Lancaster, Peter; Psarrakos, Panayiotis
13
2008
Consistency adjustments for pairwise comparison matrices. Zbl 1071.65067
Farkas, András; Lancaster, Peter; Rózsa, Pál
13
2003
Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021
Lancaster, P.; Markus, A. S.; Matsaev, V. I.
13
1995
Theory of matrices. (Teoriya matrits). Transl. from the English. 2nd ed., rev. Zbl 0515.15002
Lancaster, P.
13
1982
A fundamental theorem on lambda-matrices with applications. II: Difference equations with constant coefficients. Zbl 0388.15004
Lancaster, Peter
13
1977
Algorithms for hyperbolic quadratic eigenvalue problems. Zbl 1083.65037
Guo, Chun-Hua; Lancaster, Peter
12
2005
Model-updating for self-adjoint quadratic eigenvalue problems. Zbl 1145.15012
Lancaster, Peter
10
2008
Normal and seminormal eigenvalues of matrix functions. Zbl 0989.15012
Lancaster, Peter; Psarrakos, Panayiotis
10
2001
Newton’s method for a generalized inverse eigenvalue problem. Zbl 0889.65039
Dai, Hua; Lancaster, Peter
10
1997
Perturbation theory for divisors of operator polynomials. Zbl 0427.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
10
1979
Zur Theorie der \(\lambda\)-Matrizen. Zbl 0278.15004
Lancaster, Peter; Wimmer, Harald K.
10
1975
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
9
1994
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
9
1994
Definitizable Hermitian matrix pencils. Zbl 0789.15009
Lancaster, Peter; Ye, Qiang
9
1993
Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. Zbl 0676.15007
Lancaster, Peter; Ye, Qiang
9
1989
Some extensions and modifications of classical stability tests for polynomials. Zbl 0526.93043
Lancaster, P.; Tismenetsky, M.
9
1983
On selfadjoint matrix polynomials. Zbl 0424.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
9
1979
Norms on direct sums and tensor products. Zbl 0247.65030
Lancaster, P.; Farahat, H. K.
9
1972
Jordan chains for lambda matrices. II. Zbl 0212.05201
Lancaster, P.
9
1970
Stability of linear gyroscopic systems: a review. Zbl 1356.70007
Lancaster, Peter
8
2013
The numerical range of self-adjoint quadratic matrix polynomials. Zbl 1002.15027
Lancaster, Peter; Psarrakos, Panayiotis
8
2001
On the optimal value of the spectral abscissa for a system of linear oscillators. Zbl 0942.34069
Freitas, Pedro; Lancaster, Peter
8
1999
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
8
1995
Constraining strategies for linear iterative processes. Zbl 0713.65030
Koltracht, I.; Lancaster, P.
8
1990
Inverse spectral problems for linear and quadratic matrix pencils. Zbl 0657.15010
Lancaster, Peter; Ye, Qiang
8
1988
Quadratic matrix polynomials with a parameter. Zbl 0623.15003
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1986
Perturbations of analytic Hermitian matrix functions. Zbl 0548.47012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1985
A sign characteristic for self-adjoint meromorphic matrix functions. Zbl 0494.15012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1983
Jordan chains for lambda matrices. Zbl 0167.03104
Lancaster, P.; Webber, P. N.
8
1968
Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks. Zbl 0774.34044
Bohl, Erich; Lancaster, Peter
7
1993
Spectral properties of diagonally dominant infinite matrices. I. Zbl 0681.47011
Farid, F. O.; Lancaster, P.
7
1989
An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. Zbl 0626.15005
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
7
1987
The spectral variation of pencils of matrices. Zbl 0593.15013
Elsner, L.; Lancaster, P.
7
1985
Algorithms for lambda-matrices. Zbl 0246.65016
Lancaster, P.
7
1964
On the inverse symmetric quadratic eigenvalue problem. Zbl 1320.47007
Lancaster, Peter; Zaballa, Ion
6
2014
Canonical structures for palindromic matrix polynomials. Zbl 1144.47011
Lancaster, Peter; Prells, Uwe; Rodman, Leiba
6
2007
Isospectral families of high-order systems. Zbl 1114.15005
Lancaster, Peter; Prells, Uwe
6
2007
Symmetric, positive semidefinite, and positive definite real solutions of \(AX=XA^ T\) and \(AX=YB\). Zbl 0757.15006
Jameson, Antony; Kreindler, Eliezer; Lancaster, Peter
6
1992
Variational and numerical methods for symmetric matrix pencils. Zbl 0714.65042
Lancaster, Peter; Ye, Qiang
6
1991
A definiteness test for Hankel matrices and their lower submatrices. Zbl 0608.15012
Koltracht, I.; Lancaster, P.
6
1987
The kernel of the Bezoutian for operator polynomials. Zbl 0583.47020
Lancaster, P.; Maroulas, J.
6
1985
On the matrix equation \(AX+X^*A^*=C\). Zbl 0537.15010
Lancaster, P.; Rozsa, P.
6
1983
A review of some recent results concerning factorization of matrix and operator valued functions. Zbl 0502.47007
Lancaster, P.
6
1982
A review of numerical methods for eigenvalue problems nonlinear in the parameter. Zbl 0359.65053
Lancaster, P.
6
1977
Some applications of the Newton-Raphson method to non-linear matrix problems. Zbl 0194.18301
Lancaster, P.
6
1963
Isospectral vibrating systems. I: The spectral method. Zbl 1079.15011
Lancaster, Peter
5
2005
Some recent results on MDGKN-systems. Zbl 1326.70037
Hagedorn, Peter; Heffel, Eduard; Lancaster, Peter; Müller, Peter C.; Kapuria, Santosh
2
2015
On the inverse symmetric quadratic eigenvalue problem. Zbl 1320.47007
Lancaster, Peter; Zaballa, Ion
6
2014
Stability of linear gyroscopic systems: a review. Zbl 1356.70007
Lancaster, Peter
8
2013
Filters connecting isospectral quadratic systems. Zbl 1287.15006
Garvey, S. D.; Lancaster, P.; Popov, A. A.; Prells, U.; Zaballa, I.
3
2013
On the sign characteristics of selfadjoint matrix polynomials. Zbl 1282.15011
Lancaster, Peter; Zaballa, Ion
1
2013
Hermitian quadratic matrix polynomials: solvents and inverse problems. Zbl 1260.15037
Lancaster, Peter; Tisseur, Françoise
4
2012
A review of canonical forms for selfadjoint matrix polynomials. Zbl 1252.15011
Lancaster, Peter; Zaballa, Ion
2
2012
Parametrizing structure preserving transformations of matrix polynomials. Zbl 1252.15010
Lancaster, Peter; Zaballa, Ion
2
2012
Inverse problems for Hermitian quadratic matrix polynomials. Zbl 1261.15019
Chorianopoulos, C.; Lancaster, P.
1
2012
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
42
2009
Matrix polynomials. Reprint of the 1982 original. Zbl 1170.15300
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
38
2009
Rayleigh quotient algorithms for nonsymmetric matrix pencils. Zbl 1181.65050
Amiraslani, A.; Lancaster, P.
3
2009
Linearization of regular matrix polynomials. Zbl 1147.15009
Lancaster, Peter
14
2008
On pseudospectra of matrix polynomials and their boundaries. Zbl 1141.65026
Boulton, Lyonell; Lancaster, Peter; Psarrakos, Panayiotis
13
2008
Model-updating for self-adjoint quadratic eigenvalue problems. Zbl 1145.15012
Lancaster, Peter
10
2008
Inverse spectral problems for semisimple damped vibrating systems. Zbl 1132.74017
Lancaster, Peter
14
2007
Canonical structures for palindromic matrix polynomials. Zbl 1144.47011
Lancaster, Peter; Prells, Uwe; Rodman, Leiba
6
2007
Isospectral families of high-order systems. Zbl 1114.15005
Lancaster, Peter; Prells, Uwe
6
2007
A stabilization criterion for matrices. Zbl 1109.93039
Wu, Jinn-Wen; Lian, Kuang-Yow; Lancaster, Peter
2
2007
Invariant subspaces of matrics with applications. Reprint of the 1986 original. Zbl 1093.15502
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
29
2006
Isospectral vibrating systems. II: Structure preserving transformations. Zbl 1095.15017
Prells, Uwe; Lancaster, Peter
4
2006
Indefinite linear algebra and applications. Zbl 1084.15005
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
93
2005
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. Zbl 1087.15014
Lancaster, Peter; Rodman, Leiba
48
2005
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. Zbl 1081.15007
Lancaster, P.; Rodman, L.
30
2005
On the pseudospectra of matrix polynomials. Zbl 1095.65032
Lancaster, Peter; Psarrakos, Panayiotis
22
2005
Inverse problems for damped vibrating systems. Zbl 1237.70059
Lancaster, P.; Prells, U.
18
2005
Algorithms for hyperbolic quadratic eigenvalue problems. Zbl 1083.65037
Guo, Chun-Hua; Lancaster, Peter
12
2005
Isospectral vibrating systems. I: The spectral method. Zbl 1079.15011
Lancaster, Peter
5
2005
Approximation of positive matrices by transitive matrices. Zbl 1087.65042
Farkas, A.; Lancaster, P.; Rózsa, P.
2
2005
Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009
Lancaster, P.; Markus, A. S.; Zhou, F.
20
2003
Consistency adjustments for pairwise comparison matrices. Zbl 1071.65067
Farkas, András; Lancaster, Peter; Rózsa, Pál
13
2003
A wider class of stable gyroscopic systems. Zbl 1029.15007
Lancaster, P.; Markus, A. S.; Zhou, F.
2
2003
Lambda-matrices and vibrating systems. Reprint of the 1966 original. Zbl 1048.34002
Lancaster, Peter
20
2002
Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials. Zbl 1031.47005
Lancaster, Peter; Markus, Alexander S.; Psarrakos, Panayiotis
2
2002
Normal and seminormal eigenvalues of matrix functions. Zbl 0989.15012
Lancaster, Peter; Psarrakos, Panayiotis
10
2001
The numerical range of self-adjoint quadratic matrix polynomials. Zbl 1002.15027
Lancaster, Peter; Psarrakos, Panayiotis
8
2001
Stabilization of gyroscopic systems. Zbl 1010.34044
Hryniv, R.; Lancaster, P.
3
2001
A precise bound for gyroscopic stabilization. Zbl 0981.34036
Hryniv, R. O.; Kliem, W.; Lancaster, P.; Pommer, C.
4
2000
Preconditioning block Lanczos algorithm for solving symmetric eigenvalue problems. Zbl 0961.65033
Dai, Hua; Lancaster, Peter
2
2000
Iterative solution of two matrix equations. Zbl 0940.65036
Guo, Chun-Hua; Lancaster, Peter
78
1999
On the perturbation of analytic matrix functions. Zbl 0940.47008
Hryniv, R.; Lancaster, P.
20
1999
Strongly stable gyroscopic systems. Zbl 0921.47015
Lancaster, Peter
17
1999
On the optimal value of the spectral abscissa for a system of linear oscillators. Zbl 0942.34069
Freitas, Pedro; Lancaster, Peter
8
1999
Analysis and modification of Newton’s method for algebraic Riccati equations. Zbl 0903.65047
Guo, Chun-Hua; Lancaster, Peter
20
1998
\(H\)-selfadjoint and \(H\)-unitary matrix pencils. Zbl 0914.15008
Krupnik, Ilya; Lancaster, Peter
2
1998
Minimal pencil realizations of rational matrix functions with symmetries. Zbl 0969.93010
Krupnik, Ilya; Lancaster, Peter
1
1998
Newton’s method for a generalized inverse eigenvalue problem. Zbl 0889.65039
Dai, Hua; Lancaster, Peter
10
1997
The order of neutrality for linear operators on inner product spaces. Zbl 0939.47032
Lancaster, P.; Markus, A. S.; Zizler, P.
2
1997
Numerical methods for finding multiple eigenvalues of matrices depending on parameters. Zbl 0873.65034
Dai, Hua; Lancaster, Peter
1
1997
Linear matrix equations from an inverse problem of vibration theory. Zbl 0861.15014
Hua, Dai; Lancaster, Peter
62
1996
Perturbations of \(G\)-selfadjoint operators and operator polynomials with real spectrum. Zbl 0860.47008
Lancaster, P.; Markus, A.; Matsaev, V.
3
1996
Spectra and stability of quadratic eigenvalue problems. Zbl 0964.34500
Lancaster, P.
1
1996
Factorization of selfadjoint matrix polynomials with real spectrum. Zbl 0866.15004
Krupnik, Ilya; Lancaster, Peter; Zizler, Peter
1
1996
Algebraic Riccati equations. Zbl 0836.15005
Lancaster, Peter; Rodman, Leiba
399
1995
Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021
Lancaster, P.; Markus, A. S.; Matsaev, V. I.
13
1995
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
8
1995
Factorization of selfadjoint quadratic matrix polynomials with real spectrum. Zbl 0830.15007
Krupnik, Ilya; Markus, Alexander; Lancaster, Peter
3
1995
Minimal symmetric factorizations of symmetric real and complex rational matrix functions. Zbl 0823.15023
Lancaster, Peter; Rodman, Leiba
3
1995
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
9
1994
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
9
1994
Invariant neutral subspaces for symmetric and skew real matrix pairs. Zbl 0816.15007
Lancaster, Peter; Rodman, Leiba
3
1994
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
49
1993
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
18
1993
Definitizable Hermitian matrix pencils. Zbl 0789.15009
Lancaster, Peter; Ye, Qiang
9
1993
Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks. Zbl 0774.34044
Bohl, Erich; Lancaster, Peter
7
1993
Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils. Zbl 0771.65017
Lancaster, Peter; Ye, Qiang
2
1993
Overdamped and gyroscopic vibrating systems. Zbl 0756.70021
Barkwell, Lawrence; Lancaster, Peter
24
1992
Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S.
17
1992
Symmetric, positive semidefinite, and positive definite real solutions of \(AX=XA^ T\) and \(AX=YB\). Zbl 0757.15006
Jameson, Antony; Kreindler, Eliezer; Lancaster, Peter
6
1992
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter. Zbl 0757.65038
Andrew, Alan L.; Chu, K. W. Eric; Lancaster, Peter
1
1992
Variational and numerical methods for symmetric matrix pencils. Zbl 0714.65042
Lancaster, Peter; Ye, Qiang
6
1991
Convergence properties of ART and SOR algorithms. Zbl 0724.65027
Elsner, L.; Koltracht, I.; Lancaster, P.
5
1991
Spectral properties of diagonally dominant infinite matrices. II. Zbl 0745.47017
Farid, F. O.; Lancaster, P.
5
1991
Constraining strategies for linear iterative processes. Zbl 0713.65030
Koltracht, I.; Lancaster, P.
8
1990
The structure of some matrices arising in tomography. Zbl 0702.15020
Koltracht, Israel; Lancaster, Peter; Smith, Digby
4
1990
Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. Zbl 0676.15007
Lancaster, Peter; Ye, Qiang
9
1989
Spectral properties of diagonally dominant infinite matrices. I. Zbl 0681.47011
Farid, F. O.; Lancaster, P.
7
1989
On the numerical solution of integral equations with piecewise continuous displacement kernels. Zbl 0726.65151
Gohberg, I.; Koltracht, I.; Lancaster, P.
1
1989
General theory of regular matrix polynomials and band Toeplitz operators. Zbl 0671.15012
Gohberg, I.; Kaashoek, M. A.; Lancaster, P.
29
1988
Inverse spectral problems for linear and quadratic matrix pencils. Zbl 0657.15010
Lancaster, Peter; Ye, Qiang
8
1988
Selective perturbation of spectral properties of vibrating systems using feedback. Zbl 0628.93026
Lancaster, P.; Maroulas, J.
4
1988
Generalized Schur parameters and the effects of perturbations. Zbl 0646.15010
Koltracht, I.; Lancaster, P.
1
1988
Linear complexity parallel algorithms for linear systems of equations with recursive structure. Zbl 0624.65020
Gohberg, I.; Kailath, T.; Koltracht, I.; Lancaster, P.
30
1987
Inverse eigenvalue problems for damped vibrating systems. Zbl 0637.34017
Lancaster, P.; Maroulas, J.
15
1987
An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. Zbl 0626.15005
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
7
1987
A definiteness test for Hankel matrices and their lower submatrices. Zbl 0608.15012
Koltracht, I.; Lancaster, P.
6
1987
Second order parallel algorithms for Fredholm integral equations with continuous displacement kernels. Zbl 0631.65131
Gohberg, I.; Koltracht, I.; Lancaster, P.
2
1987
Invariant subspaces of matrices with applications. Zbl 0608.15004
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
245
1986
Curve and surface fitting. An introduction. Zbl 0649.65012
Lancaster, Peter; Salkauskas, Kestutis
130
1986
On Hermitian solutions of the symmetric algebraic Riccati equation. Zbl 0607.93013
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
27
1986
Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
19
1986
Quadratic matrix polynomials with a parameter. Zbl 0623.15003
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1986
Condition numbers of Toeplitz and block Toeplitz matrices. Zbl 0589.47030
Koltracht, I.; Lancaster, P.
3
1986
Common eigenvalues, divisors, and multiples of matrix polynomials: A review. Zbl 0627.15004
Lancaster, Peter
2
1986
The theory of matrices. 2nd ed., with applications. Zbl 0558.15001
Lancaster, Peter; Tismenetsky, Miron
788
1985
Perturbations of analytic Hermitian matrix functions. Zbl 0548.47012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
8
1985
The spectral variation of pencils of matrices. Zbl 0593.15013
Elsner, L.; Lancaster, P.
7
1985
The kernel of the Bezoutian for operator polynomials. Zbl 0583.47020
Lancaster, P.; Maroulas, J.
6
1985
Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices. Zbl 0552.15008
Lancaster, P.; Lerer, L.; Tismenetsky, M.
26
1984
Eigenvectors of H-selfadjoint matrices. Zbl 0555.15005
Lancaster, P.; Rózsa, P.
14
1984
...and 55 more Documents
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Cited by 4,857 Authors

106 Rodman, Leiba X.
78 Lancaster, Peter
57 Gohberg, Israel
55 Ran, André C. M.
44 Dehghan Takht Fooladi, Mehdi
39 Mehrmann, Volker
38 Jódar Sanchez, Lucas Antonio
33 Psarrakos, Panayiotis J.
29 Wimmer, Harald K.
28 Benner, Peter
28 Li, Xiaolin
27 Zaballa, Ion
25 Dopico, Froilán M.
25 Kaashoek, Marinus Adriaan
25 Mehl, Christian
24 Lin, Wen-Wei
23 Belytschko, Ted Bohdan
22 Lerer, Leonid Efimovich
21 Razzaghi, Mohsen
18 Dai, Hua
17 Liao, Anping
17 Liew, Kim Meow
17 Nogueira, Xesús
16 Abbaszadeh, Mostafa
16 Mackey, D. Steven
16 Tisseur, Françoise
16 Van Dooren, Paul M.
15 Colominas, Ignasi
15 Gracia, Juan-Miguel
15 Hu, Guangda
15 Marzban, Hamid-Reza
14 Jbilou, Khalide
14 Maroulas, John
14 Tismenetsky, Miron
14 Yuan, Yongxin
13 Alpay, Daniel Aron
13 Cheng, Yumin
13 Engwerda, Jacob Christiaan
13 Galba, E. F.
13 Kressner, Daniel
13 Kulikov, Gennady Yur’evich
13 Simoncini, Valeria
13 Sladek, Jan
13 Sladek, Vladimir
13 Van der Mee, Cornelis Victor Maria
13 Xu, Hongguo
12 Bini, Dario Andrea
12 de Terán, Fernando
12 Faßbender, Heike
12 Ferrante, Augusto
12 Ferrer, Josep
12 Gavete, Luis
12 Guo, Chun-Hua
12 Hu, Xiyan
12 Khelladi, Sofiane
12 Koltracht, Israel
12 Puerta, Ferran
12 Ye, Qiang
12 Zhang, Chengjian
11 Ball, Joseph Anthony
11 Bart, Harm
11 El-Sayed, Salah M.
11 Hasanov, Vejdi Ismailov
11 Heinig, Georg
11 King-wah Chu, Eric
11 Klein, André
11 Rokne, Jon G.
11 Sergienko, Ivan Vasylyovych
11 Shieh, Leang-San
11 Trunk, Carsten
10 Benito, Juan José
10 Chen, Jiun-Shyan
10 Cueto-Felgueroso, Luis
10 Duan, Xuefeng
10 Furtado, Susana
10 Gemignani, Luca
10 Johnson, Charles Royal
10 Li, Rencang
10 Markus, Alexander S.
10 Mirzaei, Davoud
10 Noferini, Vanni
10 Poloni, Federico G.
10 Xie, Huiqing
9 Binding, Paul Anthony
9 Cohen, Nir
9 Freiling, Gerhard
9 Ivanov, Ivan Ganchev
9 Košir, Tomaž
9 Meini, Beatrice
9 Navarro, Enrique A.
9 Olshevsky, Vadim
9 Petersen, Ian Richard
9 Puerta, Xavier
9 Rao, B. Nageswara
9 Sergeichuk, Vladimir Vasil’evich
9 Spreij, Peter
9 Ureña, Francisco
9 Zhang, Lei
8 Alam, Rafikul
8 Bebiano, Natália Isabel Quadros
...and 4,757 more Authors
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Cited in 482 Serials

785 Linear Algebra and its Applications
151 Journal of Computational and Applied Mathematics
134 Applied Mathematics and Computation
131 Computer Methods in Applied Mechanics and Engineering
125 Engineering Analysis with Boundary Elements
98 Integral Equations and Operator Theory
94 Linear and Multilinear Algebra
89 Computers & Mathematics with Applications
87 Automatica
75 Systems & Control Letters
68 International Journal of Control
54 Journal of Mathematical Analysis and Applications
53 Applied Numerical Mathematics
49 International Journal for Numerical Methods in Engineering
48 SIAM Journal on Matrix Analysis and Applications
47 Numerische Mathematik
45 Computational Mechanics
43 Applied Mathematical Modelling
36 International Journal of Systems Science
36 Journal of the Franklin Institute
36 BIT
34 Applied Mathematics Letters
33 Journal of Computational Physics
33 Numerical Linear Algebra with Applications
31 Numerical Algorithms
31 International Journal of Computer Mathematics
26 Mathematics of Computation
26 Computing
23 Mathematical Notes
22 Mathematical and Computer Modelling
21 Computational and Applied Mathematics
20 Journal of Functional Analysis
18 SIAM Journal on Scientific Computing
18 Mathematical Problems in Engineering
17 Proceedings of the American Mathematical Society
17 Cybernetics and Systems Analysis
16 Mathematical Biosciences
16 MCSS. Mathematics of Control, Signals, and Systems
16 European Journal of Control
15 Journal of Differential Equations
15 ELA. The Electronic Journal of Linear Algebra
15 Journal of Applied Mathematics and Computing
14 Journal of Mathematical Physics
14 Ukrainian Mathematical Journal
14 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
14 Journal of Econometrics
14 Journal of Mathematical Sciences (New York)
13 Acta Mechanica
13 Journal of Optimization Theory and Applications
13 Communications in Numerical Methods in Engineering
12 Calcolo
12 Kybernetika
12 SIAM Journal on Control and Optimization
11 Journal of Mathematical Biology
11 Journal of Soviet Mathematics
11 Circuits, Systems, and Signal Processing
11 Acta Mathematicae Applicatae Sinica. English Series
10 Journal of Multivariate Analysis
10 Multidimensional Systems and Signal Processing
10 Mathematical Programming. Series A. Series B
10 Differential Equations
10 Journal of Applied Mathematics
9 Computers and Fluids
9 Discrete Applied Mathematics
9 Journal of Approximation Theory
9 Mathematics and Computers in Simulation
9 Transactions of the American Mathematical Society
9 SIAM Journal on Algebraic and Discrete Methods
9 Computer Aided Geometric Design
9 Journal of Scientific Computing
9 Stochastic Processes and their Applications
9 Abstract and Applied Analysis
9 Archives of Computational Methods in Engineering
9 International Journal of Computational Methods
8 Applicable Analysis
8 International Journal for Numerical Methods in Fluids
8 Journal of Applied Mathematics and Mechanics
8 Physics Letters. A
8 Mathematische Nachrichten
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Numerical Functional Analysis and Optimization
8 Siberian Mathematical Journal
8 Theoretical Computer Science
8 Journal of Economic Dynamics & Control
8 Indagationes Mathematicae. New Series
8 European Journal of Mechanics. A. Solids
8 Communications in Nonlinear Science and Numerical Simulation
7 Advances in Applied Probability
7 Bulletin of Mathematical Biology
7 Chaos, Solitons and Fractals
7 Functional Analysis and its Applications
7 Applied Mathematics and Mechanics. (English Edition)
7 Journal of Symbolic Computation
7 Journal of Global Optimization
7 Communications in Statistics. Theory and Methods
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Advances in Computational Mathematics
7 Stochastic Models
7 Mediterranean Journal of Mathematics
6 Archive for Rational Mechanics and Analysis
...and 382 more Serials
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Cited in 62 Fields

1,485 Numerical analysis (65-XX)
1,476 Linear and multilinear algebra; matrix theory (15-XX)
700 Systems theory; control (93-XX)
386 Mechanics of deformable solids (74-XX)
382 Operator theory (47-XX)
364 Ordinary differential equations (34-XX)
198 Partial differential equations (35-XX)
142 Calculus of variations and optimal control; optimization (49-XX)
139 Operations research, mathematical programming (90-XX)
136 Fluid mechanics (76-XX)
133 Statistics (62-XX)
121 Probability theory and stochastic processes (60-XX)
95 Biology and other natural sciences (92-XX)
91 Approximations and expansions (41-XX)
87 Dynamical systems and ergodic theory (37-XX)
87 Mechanics of particles and systems (70-XX)
85 Computer science (68-XX)
81 Combinatorics (05-XX)
78 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
65 Information and communication theory, circuits (94-XX)
63 Functions of a complex variable (30-XX)
59 Difference and functional equations (39-XX)
59 Functional analysis (46-XX)
49 Integral equations (45-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
42 Quantum theory (81-XX)
32 Field theory and polynomials (12-XX)
31 Statistical mechanics, structure of matter (82-XX)
29 Optics, electromagnetic theory (78-XX)
26 Differential geometry (53-XX)
25 Special functions (33-XX)
23 Number theory (11-XX)
23 Algebraic geometry (14-XX)
19 Commutative algebra (13-XX)
19 Real functions (26-XX)
17 Classical thermodynamics, heat transfer (80-XX)
16 Associative rings and algebras (16-XX)
15 Integral transforms, operational calculus (44-XX)
14 Global analysis, analysis on manifolds (58-XX)
12 Group theory and generalizations (20-XX)
12 Geometry (51-XX)
11 Convex and discrete geometry (52-XX)
10 Nonassociative rings and algebras (17-XX)
10 Topological groups, Lie groups (22-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Geophysics (86-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Relativity and gravitational theory (83-XX)
7 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
4 Potential theory (31-XX)
4 Manifolds and cell complexes (57-XX)
3 Mathematical logic and foundations (03-XX)
3 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Mathematics education (97-XX)

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