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Paige, Chris C.

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Author ID: paige.chris-c Recent zbMATH articles by "Paige, Chris C."
Published as: Paige, C. C.; Paige, Chris; Paige, Chris C.
Documents Indexed: 31 Publications since 1970

Publications by Year

Citations contained in zbMATH

29 Publications have been cited 807 times in 633 Documents Cited by Year
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
84
1995
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms. Zbl 0624.93025
Laub, Alan J.; Heath, Michael T.; Paige, Chris C.; Ward, Robert C.
74
1987
A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316
Paige, Chris; Van Loan, Charles
67
1981
Properties of numerical algorithms related to computing controllability. Zbl 0463.93024
Paige, Chris C.
64
1981
Computational variants of the Lanczos method for the eigenproblem. Zbl 0253.65020
Paige, C. C.
54
1972
Error analysis of the Lanczos algorithm for tridiagonalizing a symmetric matrix. Zbl 0347.65018
Paige, C. C.
48
1976
Computing the generalized singular value decomposition. Zbl 0621.65030
Paige, C. C.
41
1986
An algorithm for pole assignment of time invariant linear systems. Zbl 0478.93022
Miminis, G. S.; Paige, C. C.
39
1982
Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm. Zbl 0747.65026
Björck, Å.; Paige, C. C.
34
1992
Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem. Zbl 0471.65017
Paige, C. C.
34
1980
Computing the singular value decomposition of a product of two matrices. Zbl 0607.65013
Heath, M. T.; Laub, A. J.; Paige, C. C.; Ward, R. C.
33
1986
History and generality of the CS decomposition. Zbl 0854.15002
Paige, C. C.; Wei, M.
31
1994
Fast numerically stable computations for generalized linear least squares problems. Zbl 0402.65006
Paige, C. C.
27
1979
Eigenvalues of perturbed Hermitian matrices. Zbl 0275.65011
Paige, C. C.
26
1974
Bidiagonalization of matrices and solution of linear equations. Zbl 0244.65023
Paige, C. C.
23
1974
Solution of augmented linear systems using orthogonal factorizations. Zbl 0822.65021
Björck, Å.; Paige, C. C.
18
1994
A constrained least squares approach to the general Gauss-Markov linear model. Zbl 0475.62052
Kourouklis, S.; Paige, C. C.
18
1981
Computer solution and perturbation analysis of generalized linear least squares problems. Zbl 0405.65018
Paige, C. C.
16
1979
Numerically stable computations for general univariate linear models. Zbl 0429.62052
Paige, C. C.
14
1978
Some aspects of generalized QR factorizations. Zbl 0721.65013
Paige, C. C.
10
1990
A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback. Zbl 0652.93015
Miminis, George S.; Paige, Chris C.
10
1988
An error analysis of a method for solving matrix equations. Zbl 0282.65027
Paige, C. C.
10
1973
Practical use of the symmetric Lanczos process with re-orthogonalization. Zbl 0214.41003
Paige, C. C.
9
1970
A note on a result of Sun Ji-Guang: Sensitivity of the CS and GSV decompositions. Zbl 0585.65028
Paige, C. C.
5
1984
Implicit shifting in the QR and related algorithms. Zbl 0725.65040
Miminis, G. S.; Paige, C. C.
4
1991
The general linear model of the generalized singular value decomposition. Zbl 0587.62135
Paige, C. C.
4
1985
Error analysis of some techniques for updating orthogonal decompositions. Zbl 0422.65027
Paige, C. C.
4
1980
Editorial: Total least squares and errors-in-variables modeling. Zbl 1452.00028
van Huffel, Sabine (ed.); Cheng, Chi-Lun (ed.); Mastronardi, Nicola (ed.); Paige, Chris (ed.); Kukush, Alexander (ed.)
3
2007
Krylov subspace processes, Krylov subspace methods, and iteration polynomials. Zbl 1260.65017
Paige, C. C.
3
1994
Editorial: Total least squares and errors-in-variables modeling. Zbl 1452.00028
van Huffel, Sabine (ed.); Cheng, Chi-Lun (ed.); Mastronardi, Nicola (ed.); Paige, Chris (ed.); Kukush, Alexander (ed.)
3
2007
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
84
1995
History and generality of the CS decomposition. Zbl 0854.15002
Paige, C. C.; Wei, M.
31
1994
Solution of augmented linear systems using orthogonal factorizations. Zbl 0822.65021
Björck, Å.; Paige, C. C.
18
1994
Krylov subspace processes, Krylov subspace methods, and iteration polynomials. Zbl 1260.65017
Paige, C. C.
3
1994
Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm. Zbl 0747.65026
Björck, Å.; Paige, C. C.
34
1992
Implicit shifting in the QR and related algorithms. Zbl 0725.65040
Miminis, G. S.; Paige, C. C.
4
1991
Some aspects of generalized QR factorizations. Zbl 0721.65013
Paige, C. C.
10
1990
A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback. Zbl 0652.93015
Miminis, George S.; Paige, Chris C.
10
1988
Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms. Zbl 0624.93025
Laub, Alan J.; Heath, Michael T.; Paige, Chris C.; Ward, Robert C.
74
1987
Computing the generalized singular value decomposition. Zbl 0621.65030
Paige, C. C.
41
1986
Computing the singular value decomposition of a product of two matrices. Zbl 0607.65013
Heath, M. T.; Laub, A. J.; Paige, C. C.; Ward, R. C.
33
1986
The general linear model of the generalized singular value decomposition. Zbl 0587.62135
Paige, C. C.
4
1985
A note on a result of Sun Ji-Guang: Sensitivity of the CS and GSV decompositions. Zbl 0585.65028
Paige, C. C.
5
1984
An algorithm for pole assignment of time invariant linear systems. Zbl 0478.93022
Miminis, G. S.; Paige, C. C.
39
1982
A Schur decomposition for Hamiltonian matrices. Zbl 1115.15316
Paige, Chris; Van Loan, Charles
67
1981
Properties of numerical algorithms related to computing controllability. Zbl 0463.93024
Paige, Chris C.
64
1981
A constrained least squares approach to the general Gauss-Markov linear model. Zbl 0475.62052
Kourouklis, S.; Paige, C. C.
18
1981
Accuracy and effectiveness of the Lanczos algorithm for the symmetric eigenproblem. Zbl 0471.65017
Paige, C. C.
34
1980
Error analysis of some techniques for updating orthogonal decompositions. Zbl 0422.65027
Paige, C. C.
4
1980
Fast numerically stable computations for generalized linear least squares problems. Zbl 0402.65006
Paige, C. C.
27
1979
Computer solution and perturbation analysis of generalized linear least squares problems. Zbl 0405.65018
Paige, C. C.
16
1979
Numerically stable computations for general univariate linear models. Zbl 0429.62052
Paige, C. C.
14
1978
Error analysis of the Lanczos algorithm for tridiagonalizing a symmetric matrix. Zbl 0347.65018
Paige, C. C.
48
1976
Eigenvalues of perturbed Hermitian matrices. Zbl 0275.65011
Paige, C. C.
26
1974
Bidiagonalization of matrices and solution of linear equations. Zbl 0244.65023
Paige, C. C.
23
1974
An error analysis of a method for solving matrix equations. Zbl 0282.65027
Paige, C. C.
10
1973
Computational variants of the Lanczos method for the eigenproblem. Zbl 0253.65020
Paige, C. C.
54
1972
Practical use of the symmetric Lanczos process with re-orthogonalization. Zbl 0214.41003
Paige, C. C.
9
1970
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Cited by 851 Authors

17 Van Dooren, Paul M.
14 Mehrmann, Volker
12 Benner, Peter
12 Kontoghiorghes, Erricos John
11 Strakoš, Zdeněk
10 Wei, Musheng
9 Golub, Gene Howard
9 Paige, Christopher C.
9 Reichel, Lothar
8 Faßbender, Heike
8 Jia, Zhongxiao
8 Morgan, Ronald B.
7 Björck, Åke
7 Xu, Hongguo
7 Zha, Hongyuan
6 Boley, Daniel L.
6 Lin, Wen-Wei
6 Petkov, Petko Hr.
6 Qiu, Yuyang
6 Rozlozník, Miroslav
6 Stykel, Tatjana
6 Van der Vorst, Henk Albertus
6 Wu, Gang
5 Bai, Zhaojun
5 Cullum, Jane K.
5 De Moor, Bart L. R.
5 Konstantinov, Mikhail Mikhajlov
5 Saad, Yousef
5 Salam, Ahmed
5 Sleijpen, Gerard L. G.
5 Wang, Qingwen
5 Zhang, Zhenyue
4 Barlow, Jesse L.
4 Benítez Lopez, Julio
4 Bergamaschi, Luca
4 Bojanczyk, Adam W.
4 Bosner, Nela
4 Calvetti, Daniela
4 Charlier, J.-P.
4 Chu, Delin
4 Dongarra, Jack J.
4 Fan, Hung-Yuan
4 Foschi, Paolo
4 Frommer, Andreas
4 Gratton, Serge
4 He, ZhuoHeng
4 Lin, Yiqin
4 Lu, Linzhang
4 Mehl, Christian
4 Miminis, George S.
4 Parlett, Beresford Neill
4 Pini, Giorgio
4 Ramadan, Mohamed Abdel-Latif
4 Ruhe, Axel
4 Saunders, Michael A.
4 Shaker, Hamid Reza
4 Watkins, David S.
4 Wei, Yimin
4 Yuan, Jin Yun
3 Al-Aidarous, Eman Salem
3 Baglama, James
3 Bao, Liang
3 Byers, Ralph
3 Carson, Erin Claire
3 Christov, Nicolai D.
3 Davison, Edward Joseph
3 de Pierro, Alvaro Rodolfo
3 Dehesa, Jesús S.
3 Drmač, Zlatko
3 Eising, Rikus
3 El-Sayed, Ehab A.
3 Engwerda, Jacob Christiaan
3 Giraud, Luc
3 Greenbaum, Anne
3 Gu, Dawei
3 Higham, Nicholas J.
3 Hochstenbach, Michiel E.
3 Jia, Zhigang
3 Laub, Alan J.
3 Liu, Qiaohua
3 Luo, Mingxing
3 Mach, Thomas
3 Mantica, Giorgio
3 Nakatsukasa, Yuji
3 Nath Datta, Biswa
3 O’Leary, Dianne P.
3 Orban, Dominique
3 Patel, Rajnikant V.
3 Rakočević, Vladimir
3 Román, Jose E.
3 Saak, Jens
3 Saltenberger, Philip
3 Simoncini, Valeria
3 Smoktunowicz, Alicja
3 Stewart, Michael
3 Sun, Jiguang
3 Sutton, Brian D.
3 van den Eshof, Jasper
3 Vasseur, Xavier
3 Wang, Anding
...and 751 more Authors
all top 5

Cited in 116 Serials

115 Linear Algebra and its Applications
46 Journal of Computational and Applied Mathematics
33 BIT
28 Systems & Control Letters
25 International Journal of Control
25 SIAM Journal on Matrix Analysis and Applications
25 Numerical Algorithms
22 Applied Mathematics and Computation
17 SIAM Journal on Scientific Computing
17 Numerical Linear Algebra with Applications
16 Numerische Mathematik
14 Applied Numerical Mathematics
13 Mathematics of Computation
12 International Journal of Systems Science
12 Journal of Computational Physics
11 Computers & Mathematics with Applications
10 Automatica
9 International Journal of Computer Mathematics
7 Computer Methods in Applied Mechanics and Engineering
7 Computational Statistics and Data Analysis
6 Journal of Scientific Computing
5 Linear and Multilinear Algebra
5 MCSS. Mathematics of Control, Signals, and Systems
4 Journal of the Franklin Institute
4 Journal of Economic Dynamics & Control
4 Mathematical and Computer Modelling of Dynamical Systems
3 Computer Physics Communications
3 Journal of Fluid Mechanics
3 ACM Transactions on Mathematical Software
3 Calcolo
3 Computing
3 Journal of Optimization Theory and Applications
3 Kybernetika
3 Circuits, Systems, and Signal Processing
3 Mathematical and Computer Modelling
3 ELA. The Electronic Journal of Linear Algebra
3 Journal of Vibration and Control
3 Journal of Applied Mathematics and Computing
3 Quantum Information Processing
2 International Journal of Theoretical Physics
2 International Journal for Numerical Methods in Engineering
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 Mathematics and Computers in Simulation
2 Computational Mechanics
2 Japan Journal of Industrial and Applied Mathematics
2 Applied Mathematical Modelling
2 Communications in Statistics. Simulation and Computation
2 Applied Mathematics. Series B (English Edition)
2 Journal of Mathematical Sciences (New York)
2 Advances in Computational Mathematics
2 Mathematical Problems in Engineering
2 Parallel Algorithms and Applications
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics
2 BIT. Nordisk Tidskrift for Informationsbehandling
2 Journal of Control Science and Engineering
1 Computers and Fluids
1 International Journal for Numerical and Analytical Methods in Geomechanics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Biosciences
1 Physica A
1 Russian Mathematical Surveys
1 Prikladnaya Matematika i Mekhanika
1 The Annals of Probability
1 Demonstratio Mathematica
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Statistics & Probability Letters
1 SIAM Journal on Algebraic and Discrete Methods
1 Parallel Computing
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Constructive Approximation
1 Science in China. Series A
1 Communications in Statistics. Theory and Methods
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Review
1 Expositiones Mathematicae
1 Mathematical Programming. Series A. Series B
1 Archive of Applied Mechanics
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational Economics
1 Communications in Numerical Methods in Engineering
1 Physics of Fluids
1 Computational and Applied Mathematics
1 Journal of Difference Equations and Applications
1 European Journal of Control
1 Multibody System Dynamics
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Soft Computing
1 Journal of Shanghai University
1 International Journal of Theoretical and Applied Finance
1 The ANZIAM Journal
...and 16 more Serials
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Cited in 41 Fields

435 Numerical analysis (65-XX)
195 Linear and multilinear algebra; matrix theory (15-XX)
163 Systems theory; control (93-XX)
31 Statistics (62-XX)
19 Quantum theory (81-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Fluid mechanics (76-XX)
14 Mechanics of deformable solids (74-XX)
14 Operations research, mathematical programming (90-XX)
12 Partial differential equations (35-XX)
9 Ordinary differential equations (34-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Operator theory (47-XX)
8 Computer science (68-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Approximations and expansions (41-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Mechanics of particles and systems (70-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Probability theory and stochastic processes (60-XX)
3 Optics, electromagnetic theory (78-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)

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