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## Lancaster, Peter

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 Author ID: 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
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#### Co-Authors

 41 single-authored 29 Rodman, Leiba X. 25 Gohberg, Israel 13 Markus, Alexander S. 11 Koltracht, Israel 7 Ye, Qiang 6 Prells, Uwe 6 Zaballa, Ion 5 Kaashoek, Marinus Adriaan 5 Krupnik, Ilya 5 Psarrakos, Panayiotis J. 5 Rózsa, Pál 4 Dym, Harry 4 Maroulas, John 4 Matsaev, Vladimir Igorevich 4 Rokne, Jon G. 4 Tismenetsky, Miron 3 Andrew, Alan L. 3 Bohl, Erich 3 Dai, Hua 3 Guo, Chun-Hua 3 Hryniv, Rostyslav O. 3 Šalkauskas, Kȩstutis 3 Zizler, Peter 2 Amiraslani, Amirhossein 2 Barkwell, Lawrence 2 Barnett, Stephanie J. 2 Boulton, Lyonell S. 2 Chorianopoulos, Christos 2 Chu, King-Wah Eric 2 Elsner, Ludwig F. 2 Farid, Farid O. 2 Farkas, András 2 Goldberg, Seymour 2 Kailath, Thomas 2 Lerer, Leonid Efimovich 2 Pattabhiraman, M. V. 2 Ran, André C. M. 2 Schmidt, Eckard 2 Shkalikov, Andreĭ Andreevich 2 Terray, John 2 Watkins, David S. 2 Zhou, Fujie 1 Bart, Harm 1 Bruckstein, Alfred Marcel 1 Chu, K. E. 1 Çolakoğlu, Nurhan 1 Corless, Robert Malcolm 1 Cross, G. W. 1 Farahat, H. K. 1 Freitas, Pedro 1 Garvey, Seamus D. 1 Hagedorn, Peter 1 Heffel, Eduard 1 Hua, Dai 1 Jameson, Antony 1 Kapuria, Santosh 1 Kliem, Wolfhard 1 Kreindler, Eliezer 1 Langer, Heinz 1 Lian, Kuang-Yow 1 Müller, Peter Chr. 1 Pommer, Christian 1 Popov, Arkady A. 1 Shivakumar, Pappur N. 1 Smith, Digby 1 Tisseur, Françoise 1 Webber, P. N. 1 Wimmer, Harald K. 1 Wu, Jinnwen
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#### 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
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#### Fields

 111 Linear and multilinear algebra; matrix theory (15-XX) 54 Numerical analysis (65-XX) 48 Operator theory (47-XX) 18 Systems theory; control (93-XX) 16 Ordinary differential equations (34-XX) 15 Mechanics of particles and systems (70-XX) 10 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of deformable solids (74-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Biology and other natural sciences (92-XX) 2 Probability theory and stochastic processes (60-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

155 Publications have been cited 5,784 times in 4,140 Documents Cited by Year
The theory of matrices. 2nd ed., with applications. Zbl 0558.15001
Lancaster, Peter; Tismenetsky, Miron
1985
Surfaces generated by moving least squares methods. Zbl 0469.41005
Lancaster, P.; Salkauskas, K.
1981
Inertia characteristics of self-adjoint matrix polynomials. Zbl 0516.15018
Lancaster, P.; Tismenetsky, M.
1983
Theory of matrices. Zbl 0186.05301
Lancaster, P.
1969
Matrix polynomials. Zbl 0482.15001
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1982
Algebraic Riccati equations. Zbl 0836.15005
Lancaster, Peter; Rodman, Leiba
1995
Invariant subspaces of matrices with applications. Zbl 0608.15004
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1986
Lambda-matrices and vibrating systems. Zbl 0146.32003
Lancaster, P.
1966
Matrices and indefinite scalar products. Zbl 0513.15006
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1983
Curve and surface fitting. An introduction. Zbl 0649.65012
Lancaster, Peter; Salkauskas, Kestutis
1986
Indefinite linear algebra and applications. Zbl 1084.15005
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
2005
Explicit solutions of linear matrix equations. Zbl 0209.06502
Lancaster, P.
1970
Iterative solution of two matrix equations. Zbl 0940.65036
Guo, Chun-Hua; Lancaster, Peter
1999
Linear matrix equations from an inverse problem of vibration theory. Zbl 0861.15014
Hua, Dai; Lancaster, Peter
1996
On eigenvalues of matrices dependent on a parameter. Zbl 0133.26201
Lancaster, P.
1964
Spectral analysis of matrix polynomials. I. Canonical forms and divisors. Zbl 0375.15008
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1978
Existence and uniqueness theorems for the algebraic Riccati equation. Zbl 0439.49011
Lancaster, Peter; Rodman, Leiba
1980
Spectral analysis of selfadjoint matrix polynomials. Zbl 0446.15007
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1980
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
1993
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. Zbl 1087.15014
Lancaster, Peter; Rodman, Leiba
2005
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
2009
Matrix polynomials. Reprint of the 1982 original. Zbl 1170.15300
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
2009
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. Zbl 1081.15007
Lancaster, P.; Rodman, L.
2005
Linear complexity parallel algorithms for linear systems of equations with recursive structure. Zbl 0624.65020
Gohberg, I.; Kailath, T.; Koltracht, I.; Lancaster, P.
1987
Invariant subspaces of matrics with applications. Reprint of the 1986 original. Zbl 1093.15502
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
2006
General theory of regular matrix polynomials and band Toeplitz operators. Zbl 0671.15012
Gohberg, I.; Kaashoek, M. A.; Lancaster, P.
1988
On Hermitian solutions of the symmetric algebraic Riccati equation. Zbl 0607.93013
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
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.
1984
Square roots of complex matrices. Zbl 0283.15008
Cross, G. W.; Lancaster, P.
1974
Overdamped and gyroscopic vibrating systems. Zbl 0756.70021
Barkwell, Lawrence; Lancaster, Peter
1992
Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors. Zbl 0385.15007
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1978
On the pseudospectra of matrix polynomials. Zbl 1095.65032
Lancaster, Peter; Psarrakos, Panayiotis
2005
Factorization of selfadjoint matrix polynomials with constant signature. Zbl 0486.15008
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1982
Complex interval arithmetic. Zbl 0213.16302
Rokne, J.; Lancaster, P.
1971
Error analysis for the Newton-Raphson method. Zbl 0173.17801
Lancaster, P.
1966
Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009
Lancaster, P.; Markus, A. S.; Zhou, F.
2003
Lambda-matrices and vibrating systems. Reprint of the 1966 original. Zbl 1048.34002
Lancaster, Peter
2002
On the perturbation of analytic matrix functions. Zbl 0940.47008
Hryniv, R.; Lancaster, P.
1999
Analysis and modification of Newton’s method for algebraic Riccati equations. Zbl 0903.65047
Guo, Chun-Hua; Lancaster, Peter
1998
Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
1986
Inverse problems for damped vibrating systems. Zbl 1237.70059
Lancaster, P.; Prells, U.
2005
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
1993
Representations and divisibility of operator polynomials. Zbl 0363.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1978
A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients. Zbl 0388.15003
Lancaster, Peter
1977
Strongly stable gyroscopic systems. Zbl 0921.47015
Lancaster, Peter
1999
Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S.
1992
Some properties of the Bezoutian for polynomial matrices. Zbl 0504.15002
Barnett, S.; Lancaster, P.
1980
A generalized Rayleigh quotient iteration for lambda-matrices. Zbl 0105.31705
Lancaster, P.
1961
Inverse eigenvalue problems for damped vibrating systems. Zbl 0637.34017
Lancaster, P.; Maroulas, J.
1987
Perturbations of H-selfadjoint matrices, with applications to differential equations. Zbl 0511.15010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1982
Linearization of regular matrix polynomials. Zbl 1147.15009
Lancaster, Peter
2008
Inverse spectral problems for semisimple damped vibrating systems. Zbl 1132.74017
Lancaster, Peter
2007
Eigenvectors of H-selfadjoint matrices. Zbl 0555.15005
Lancaster, P.; Rózsa, P.
1984
Inversion of lamdba-matrices and application to the theory of linear vibrations. Zbl 0093.30902
Lancaster, P.
1960
On pseudospectra of matrix polynomials and their boundaries. Zbl 1141.65026
Boulton, Lyonell; Lancaster, Peter; Psarrakos, Panayiotis
2008
Consistency adjustments for pairwise comparison matrices. Zbl 1071.65067
Farkas, András; Lancaster, Peter; Rózsa, Pál
2003
Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021
Lancaster, P.; Markus, A. S.; Matsaev, V. I.
1995
Theory of matrices. (Teoriya matrits). Transl. from the English. 2nd ed., rev. Zbl 0515.15002
Lancaster, P.
1982
A fundamental theorem on lambda-matrices with applications. II: Difference equations with constant coefficients. Zbl 0388.15004
Lancaster, Peter
1977
Algorithms for hyperbolic quadratic eigenvalue problems. Zbl 1083.65037
Guo, Chun-Hua; Lancaster, Peter
2005
Lancaster, Peter
2008
Normal and seminormal eigenvalues of matrix functions. Zbl 0989.15012
Lancaster, Peter; Psarrakos, Panayiotis
2001
Newton’s method for a generalized inverse eigenvalue problem. Zbl 0889.65039
Dai, Hua; Lancaster, Peter
1997
Perturbation theory for divisors of operator polynomials. Zbl 0427.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1979
Zur Theorie der $$\lambda$$-Matrizen. Zbl 0278.15004
Lancaster, Peter; Wimmer, Harald K.
1975
Norms on direct sums and tensor products. Zbl 0247.65030
Lancaster, P.; Farahat, H. K.
1972
Jordan chains for lambda matrices. II. Zbl 0212.05201
Lancaster, P.
1970
Stability of linear gyroscopic systems: a review. Zbl 1356.70007
Lancaster, Peter
2013
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
1994
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
1994
Definitizable Hermitian matrix pencils. Zbl 0789.15009
Lancaster, Peter; Ye, Qiang
1993
Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. Zbl 0676.15007
Lancaster, Peter; Ye, Qiang
1989
Some extensions and modifications of classical stability tests for polynomials. Zbl 0526.93043
Lancaster, P.; Tismenetsky, M.
1983
On selfadjoint matrix polynomials. Zbl 0424.47010
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1979
Lancaster, Peter; Psarrakos, Panayiotis
2001
On the optimal value of the spectral abscissa for a system of linear oscillators. Zbl 0942.34069
Freitas, Pedro; Lancaster, Peter
1999
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
1995
Constraining strategies for linear iterative processes. Zbl 0713.65030
Koltracht, I.; Lancaster, P.
1990
Inverse spectral problems for linear and quadratic matrix pencils. Zbl 0657.15010
Lancaster, Peter; Ye, Qiang
1988
Quadratic matrix polynomials with a parameter. Zbl 0623.15003
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1986
Perturbations of analytic Hermitian matrix functions. Zbl 0548.47012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1985
A sign characteristic for self-adjoint meromorphic matrix functions. Zbl 0494.15012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1983
Jordan chains for lambda matrices. Zbl 0167.03104
Lancaster, P.; Webber, P. N.
1968
Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks. Zbl 0774.34044
Bohl, Erich; Lancaster, Peter
1993
Spectral properties of diagonally dominant infinite matrices. I. Zbl 0681.47011
Farid, F. O.; Lancaster, P.
1989
An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. Zbl 0626.15005
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
1987
The spectral variation of pencils of matrices. Zbl 0593.15013
Elsner, L.; Lancaster, P.
1985
Algorithms for lambda-matrices. Zbl 0246.65016
Lancaster, P.
1964
On the inverse symmetric quadratic eigenvalue problem. Zbl 1320.47007
Lancaster, Peter; Zaballa, Ion
2014
Canonical structures for palindromic matrix polynomials. Zbl 1144.47011
Lancaster, Peter; Prells, Uwe; Rodman, Leiba
2007
Isospectral families of high-order systems. Zbl 1114.15005
Lancaster, Peter; Prells, Uwe
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
1992
Variational and numerical methods for symmetric matrix pencils. Zbl 0714.65042
Lancaster, Peter; Ye, Qiang
1991
A definiteness test for Hankel matrices and their lower submatrices. Zbl 0608.15012
Koltracht, I.; Lancaster, P.
1987
The kernel of the Bezoutian for operator polynomials. Zbl 0583.47020
Lancaster, P.; Maroulas, J.
1985
On the matrix equation $$AX+X^*A^*=C$$. Zbl 0537.15010
Lancaster, P.; Rozsa, P.
1983
A review of some recent results concerning factorization of matrix and operator valued functions. Zbl 0502.47007
Lancaster, P.
1982
A review of numerical methods for eigenvalue problems nonlinear in the parameter. Zbl 0359.65053
Lancaster, P.
1977
Some applications of the Newton-Raphson method to non-linear matrix problems. Zbl 0194.18301
Lancaster, P.
1963
Isospectral vibrating systems. I: The spectral method. Zbl 1079.15011
Lancaster, Peter
2005
Some recent results on MDGKN-systems. Zbl 1326.70037
Hagedorn, Peter; Heffel, Eduard; Lancaster, Peter; Müller, Peter C.; Kapuria, Santosh
2015
On the inverse symmetric quadratic eigenvalue problem. Zbl 1320.47007
Lancaster, Peter; Zaballa, Ion
2014
Stability of linear gyroscopic systems: a review. Zbl 1356.70007
Lancaster, Peter
2013
Filters connecting isospectral quadratic systems. Zbl 1287.15006
Garvey, S. D.; Lancaster, P.; Popov, A. A.; Prells, U.; Zaballa, I.
2013
On the sign characteristics of selfadjoint matrix polynomials. Zbl 1282.15011
Lancaster, Peter; Zaballa, Ion
2013
Hermitian quadratic matrix polynomials: solvents and inverse problems. Zbl 1260.15037
Lancaster, Peter; Tisseur, Françoise
2012
A review of canonical forms for selfadjoint matrix polynomials. Zbl 1252.15011
Lancaster, Peter; Zaballa, Ion
2012
Parametrizing structure preserving transformations of matrix polynomials. Zbl 1252.15010
Lancaster, Peter; Zaballa, Ion
2012
Inverse problems for Hermitian quadratic matrix polynomials. Zbl 1261.15019
Chorianopoulos, C.; Lancaster, P.
2012
Linearization of matrix polynomials expressed in polynomial bases. Zbl 1158.15022
Amiraslani, A.; Corless, R. M.; Lancaster, P.
2009
Matrix polynomials. Reprint of the 1982 original. Zbl 1170.15300
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
2009
Rayleigh quotient algorithms for nonsymmetric matrix pencils. Zbl 1181.65050
Amiraslani, A.; Lancaster, P.
2009
Linearization of regular matrix polynomials. Zbl 1147.15009
Lancaster, Peter
2008
On pseudospectra of matrix polynomials and their boundaries. Zbl 1141.65026
Boulton, Lyonell; Lancaster, Peter; Psarrakos, Panayiotis
2008
Lancaster, Peter
2008
Inverse spectral problems for semisimple damped vibrating systems. Zbl 1132.74017
Lancaster, Peter
2007
Canonical structures for palindromic matrix polynomials. Zbl 1144.47011
Lancaster, Peter; Prells, Uwe; Rodman, Leiba
2007
Isospectral families of high-order systems. Zbl 1114.15005
Lancaster, Peter; Prells, Uwe
2007
A stabilization criterion for matrices. Zbl 1109.93039
Wu, Jinn-Wen; Lian, Kuang-Yow; Lancaster, Peter
2007
Invariant subspaces of matrics with applications. Reprint of the 1986 original. Zbl 1093.15502
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
2006
Isospectral vibrating systems. II: Structure preserving transformations. Zbl 1095.15017
Prells, Uwe; Lancaster, Peter
2006
Indefinite linear algebra and applications. Zbl 1084.15005
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
2005
Canonical forms for Hermitian matrix pairs under strict equivalence and congruence. Zbl 1087.15014
Lancaster, Peter; Rodman, Leiba
2005
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence. Zbl 1081.15007
Lancaster, P.; Rodman, L.
2005
On the pseudospectra of matrix polynomials. Zbl 1095.65032
Lancaster, Peter; Psarrakos, Panayiotis
2005
Inverse problems for damped vibrating systems. Zbl 1237.70059
Lancaster, P.; Prells, U.
2005
Algorithms for hyperbolic quadratic eigenvalue problems. Zbl 1083.65037
Guo, Chun-Hua; Lancaster, Peter
2005
Isospectral vibrating systems. I: The spectral method. Zbl 1079.15011
Lancaster, Peter
2005
Approximation of positive matrices by transitive matrices. Zbl 1087.65042
Farkas, A.; Lancaster, P.; Rózsa, P.
2005
Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009
Lancaster, P.; Markus, A. S.; Zhou, F.
2003
Consistency adjustments for pairwise comparison matrices. Zbl 1071.65067
Farkas, András; Lancaster, Peter; Rózsa, Pál
2003
A wider class of stable gyroscopic systems. Zbl 1029.15007
Lancaster, P.; Markus, A. S.; Zhou, F.
2003
Lambda-matrices and vibrating systems. Reprint of the 1966 original. Zbl 1048.34002
Lancaster, Peter
2002
Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials. Zbl 1031.47005
Lancaster, Peter; Markus, Alexander S.; Psarrakos, Panayiotis
2002
Normal and seminormal eigenvalues of matrix functions. Zbl 0989.15012
Lancaster, Peter; Psarrakos, Panayiotis
2001
Lancaster, Peter; Psarrakos, Panayiotis
2001
Stabilization of gyroscopic systems. Zbl 1010.34044
Hryniv, R.; Lancaster, P.
2001
A precise bound for gyroscopic stabilization. Zbl 0981.34036
Hryniv, R. O.; Kliem, W.; Lancaster, P.; Pommer, C.
2000
Preconditioning block Lanczos algorithm for solving symmetric eigenvalue problems. Zbl 0961.65033
Dai, Hua; Lancaster, Peter
2000
Iterative solution of two matrix equations. Zbl 0940.65036
Guo, Chun-Hua; Lancaster, Peter
1999
On the perturbation of analytic matrix functions. Zbl 0940.47008
Hryniv, R.; Lancaster, P.
1999
Strongly stable gyroscopic systems. Zbl 0921.47015
Lancaster, Peter
1999
On the optimal value of the spectral abscissa for a system of linear oscillators. Zbl 0942.34069
Freitas, Pedro; Lancaster, Peter
1999
Analysis and modification of Newton’s method for algebraic Riccati equations. Zbl 0903.65047
Guo, Chun-Hua; Lancaster, Peter
1998
$$H$$-selfadjoint and $$H$$-unitary matrix pencils. Zbl 0914.15008
Krupnik, Ilya; Lancaster, Peter
1998
Minimal pencil realizations of rational matrix functions with symmetries. Zbl 0969.93010
Krupnik, Ilya; Lancaster, Peter
1998
Newton’s method for a generalized inverse eigenvalue problem. Zbl 0889.65039
Dai, Hua; Lancaster, Peter
1997
The order of neutrality for linear operators on inner product spaces. Zbl 0939.47032
Lancaster, P.; Markus, A. S.; Zizler, P.
1997
Numerical methods for finding multiple eigenvalues of matrices depending on parameters. Zbl 0873.65034
Dai, Hua; Lancaster, Peter
1997
Linear matrix equations from an inverse problem of vibration theory. Zbl 0861.15014
Hua, Dai; Lancaster, Peter
1996
Perturbations of $$G$$-selfadjoint operators and operator polynomials with real spectrum. Zbl 0860.47008
Lancaster, P.; Markus, A.; Matsaev, V.
1996
Spectra and stability of quadratic eigenvalue problems. Zbl 0964.34500
Lancaster, P.
1996
Factorization of selfadjoint matrix polynomials with real spectrum. Zbl 0866.15004
Krupnik, Ilya; Lancaster, Peter; Zizler, Peter
1996
Algebraic Riccati equations. Zbl 0836.15005
Lancaster, Peter; Rodman, Leiba
1995
Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021
Lancaster, P.; Markus, A. S.; Matsaev, V. I.
1995
On the numerical solution of nonlinear eigenvalue problems. Zbl 0828.65038
Andrew, A. L.; Chu, K. E.; Lancaster, P.
1995
Krupnik, Ilya; Markus, Alexander; Lancaster, Peter
1995
Minimal symmetric factorizations of symmetric real and complex rational matrix functions. Zbl 0823.15023
Lancaster, Peter; Rodman, Leiba
1995
Damped vibrations of beams and related spectral problems. Zbl 0801.73044
Lancaster, Peter; Shkalikov, A.
1994
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
1994
Invariant neutral subspaces for symmetric and skew real matrix pairs. Zbl 0816.15007
Lancaster, Peter; Rodman, Leiba
1994
Derivatives of eigenvalues and eigenvectors of matrix functions. Zbl 0786.15011
Andrew, Alan L.; Chu, K.-W. Eric; Lancaster, Peter
1993
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
1993
Definitizable Hermitian matrix pencils. Zbl 0789.15009
Lancaster, Peter; Ye, Qiang
1993
Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks. Zbl 0774.34044
Bohl, Erich; Lancaster, Peter
1993
Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils. Zbl 0771.65017
Lancaster, Peter; Ye, Qiang
1993
Overdamped and gyroscopic vibrating systems. Zbl 0756.70021
Barkwell, Lawrence; Lancaster, Peter
1992
Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S.
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
1992
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter. Zbl 0757.65038
Andrew, Alan L.; Chu, K. W. Eric; Lancaster, Peter
1992
Variational and numerical methods for symmetric matrix pencils. Zbl 0714.65042
Lancaster, Peter; Ye, Qiang
1991
Convergence properties of ART and SOR algorithms. Zbl 0724.65027
Elsner, L.; Koltracht, I.; Lancaster, P.
1991
Spectral properties of diagonally dominant infinite matrices. II. Zbl 0745.47017
Farid, F. O.; Lancaster, P.
1991
Constraining strategies for linear iterative processes. Zbl 0713.65030
Koltracht, I.; Lancaster, P.
1990
The structure of some matrices arising in tomography. Zbl 0702.15020
Koltracht, Israel; Lancaster, Peter; Smith, Digby
1990
Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. Zbl 0676.15007
Lancaster, Peter; Ye, Qiang
1989
Spectral properties of diagonally dominant infinite matrices. I. Zbl 0681.47011
Farid, F. O.; Lancaster, P.
1989
On the numerical solution of integral equations with piecewise continuous displacement kernels. Zbl 0726.65151
Gohberg, I.; Koltracht, I.; Lancaster, P.
1989
General theory of regular matrix polynomials and band Toeplitz operators. Zbl 0671.15012
Gohberg, I.; Kaashoek, M. A.; Lancaster, P.
1988
Inverse spectral problems for linear and quadratic matrix pencils. Zbl 0657.15010
Lancaster, Peter; Ye, Qiang
1988
Selective perturbation of spectral properties of vibrating systems using feedback. Zbl 0628.93026
Lancaster, P.; Maroulas, J.
1988
Generalized Schur parameters and the effects of perturbations. Zbl 0646.15010
Koltracht, I.; Lancaster, P.
1988
Linear complexity parallel algorithms for linear systems of equations with recursive structure. Zbl 0624.65020
Gohberg, I.; Kailath, T.; Koltracht, I.; Lancaster, P.
1987
Inverse eigenvalue problems for damped vibrating systems. Zbl 0637.34017
Lancaster, P.; Maroulas, J.
1987
An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation. Zbl 0626.15005
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
1987
A definiteness test for Hankel matrices and their lower submatrices. Zbl 0608.15012
Koltracht, I.; Lancaster, P.
1987
Second order parallel algorithms for Fredholm integral equations with continuous displacement kernels. Zbl 0631.65131
Gohberg, I.; Koltracht, I.; Lancaster, P.
1987
Invariant subspaces of matrices with applications. Zbl 0608.15004
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1986
Curve and surface fitting. An introduction. Zbl 0649.65012
Lancaster, Peter; Salkauskas, Kestutis
1986
On Hermitian solutions of the symmetric algebraic Riccati equation. Zbl 0607.93013
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1986
Hermitian solutions of the discrete algebraic Riccati equation. Zbl 0598.15011
Lancaster, Peter; Ran, A. C. M.; Rodman, Leiba
1986
Quadratic matrix polynomials with a parameter. Zbl 0623.15003
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1986
Condition numbers of Toeplitz and block Toeplitz matrices. Zbl 0589.47030
Koltracht, I.; Lancaster, P.
1986
Common eigenvalues, divisors, and multiples of matrix polynomials: A review. Zbl 0627.15004
Lancaster, Peter
1986
The theory of matrices. 2nd ed., with applications. Zbl 0558.15001
Lancaster, Peter; Tismenetsky, Miron
1985
Perturbations of analytic Hermitian matrix functions. Zbl 0548.47012
Gohberg, Israel; Lancaster, Peter; Rodman, Leiba
1985
The spectral variation of pencils of matrices. Zbl 0593.15013
Elsner, L.; Lancaster, P.
1985
The kernel of the Bezoutian for operator polynomials. Zbl 0583.47020
Lancaster, P.; Maroulas, J.
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.
1984
Eigenvectors of H-selfadjoint matrices. Zbl 0555.15005
Lancaster, P.; Rózsa, P.
1984
...and 55 more Documents
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#### Cited in 487 Serials

 791 Linear Algebra and its Applications 152 Journal of Computational and Applied Mathematics 138 Applied Mathematics and Computation 131 Computer Methods in Applied Mechanics and Engineering 129 Engineering Analysis with Boundary Elements 98 Integral Equations and Operator Theory 96 Linear and Multilinear Algebra 91 Computers & Mathematics with Applications 89 Automatica 75 Systems & Control Letters 70 International Journal of Control 56 Journal of Mathematical Analysis and Applications 53 Applied Numerical Mathematics 53 SIAM Journal on Matrix Analysis and Applications 49 International Journal for Numerical Methods in Engineering 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 Journal of Computational Physics 34 Applied Mathematics Letters 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 19 SIAM Journal on Scientific Computing 18 Mathematical Problems in Engineering 17 Proceedings of the American Mathematical Society 17 Cybernetics and Systems Analysis 17 European Journal of Control 16 Mathematical Biosciences 16 MCSS. Mathematics of Control, Signals, and Systems 15 Journal of Differential Equations 15 Journal of Mathematical Sciences (New York) 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 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 Mathematics and Computers in Simulation 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 Siberian Mathematical Journal 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 European Journal of Mechanics. A. Solids 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 Theoretical Computer Science 8 Journal of Economic Dynamics & Control 8 Automation and Remote Control 8 Indagationes Mathematicae. New Series 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 ...and 387 more Serials
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#### Cited in 62 Fields

 1,501 Numerical analysis (65-XX) 1,493 Linear and multilinear algebra; matrix theory (15-XX) 714 Systems theory; control (93-XX) 391 Operator theory (47-XX) 390 Mechanics of deformable solids (74-XX) 368 Ordinary differential equations (34-XX) 201 Partial differential equations (35-XX) 144 Calculus of variations and optimal control; optimization (49-XX) 141 Operations research, mathematical programming (90-XX) 137 Fluid mechanics (76-XX) 135 Statistics (62-XX) 123 Probability theory and stochastic processes (60-XX) 96 Biology and other natural sciences (92-XX) 92 Approximations and expansions (41-XX) 89 Mechanics of particles and systems (70-XX) 87 Dynamical systems and ergodic theory (37-XX) 86 Computer science (68-XX) 81 Combinatorics (05-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Information and communication theory, circuits (94-XX) 64 Functions of a complex variable (30-XX) 61 Functional analysis (46-XX) 58 Difference and functional equations (39-XX) 50 Harmonic analysis on Euclidean spaces (42-XX) 49 Integral equations (45-XX) 43 Quantum theory (81-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Field theory and polynomials (12-XX) 30 Optics, electromagnetic theory (78-XX) 27 Differential geometry (53-XX) 26 Special functions (33-XX) 24 Number theory (11-XX) 24 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) 16 Integral transforms, operational calculus (44-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Group theory and generalizations (20-XX) 12 Geometry (51-XX) 11 Nonassociative rings and algebras (17-XX) 11 Convex and discrete geometry (52-XX) 10 Topological groups, Lie groups (22-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Geophysics (86-XX) 8 Relativity and gravitational theory (83-XX) 6 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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