## Laub, Alan J.

Compute Distance To:
 Author ID: laub.alan-j Published as: Laub, Alan J.; Laub, A. J.
 Documents Indexed: 101 Publications since 1974, including 2 Books 3 Contributions as Editor · 2 Further Contributions Co-Authors: 63 Co-Authors with 92 Joint Publications 1,273 Co-Co-Authors
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### Co-Authors

 9 single-authored 29 Kenney, Charles S. 6 Ghavimi, Ali R. 5 Gahinet, Pascal M. 4 Erickson, M. A. 4 Gardiner, Judith D. 4 Gudmundsson, Thorkell 3 Anderson, Brian David Outram 3 Bailey, Fredric N. 3 Bender, Douglas J. 3 Choi, Chiu H. 3 Hench, John J. 3 Moore, Bruce C. 3 Pandey, Pradeep Kumar 3 Shiflett, G. R. 3 Wette, Matthew R. 2 Amato, James J. 2 Birdwell, J. Douglas 2 Clements, David J. 2 Davison, Edward Joseph 2 Guo, Chun-Hua 2 Hashemipour, Hamid R. 2 Heath, Michael T. 2 Kučera, Vladimir V. 2 Linnemann, Arno 2 Matson, Jeremy B. 2 Moler, Cleve B. 2 Paige, Christopher C. 2 Papadopoulos, Philip M. 2 Reese, M. S. 2 Smith, Roy S. 2 Stubberud, Stephen C. 2 Ward, Robert C. 2 Willems, Jan Camiel 1 Ackermann, Juergen E. 1 Ammar, Gregory S. 1 Arnold, W. F. 1 Åström, Karl Johan 1 Athans, Michael 1 Axelby, George S. 1 Balchen, Jens Glad 1 Barmish, B. Ross 1 Başar, Tamer 1 Bensoussan, Alain 1 Bitmead, Robert R. 1 Bittanti, Sergio 1 Blondel, Vincent D. 1 Byrnes, Christopher Ian 1 Caines, Peter Edwin 1 Callier, Frank M. 1 Cappello, Peter R. 1 Carter, A. L. 1 Cheng, Sheung Hun 1 Cockett, J. Robin B. 1 Colerani, Patrizio 1 Davis, Mark Herbert Ainsworth 1 De Nicolao, Giuseppe 1 Denham, Michael J. 1 Egecioglu, Omer 1 Fliess, Michel 1 Gevers, Michael 1 Gevers, Michel R. 1 Goodwin, Graham Clifford 1 Hartmann, Gary L. 1 Hashemi, Ray H. 1 Hatfield, L. 1 Hewer, Gary Arthur 1 Higham, Nicholas J. 1 Holthaus, Martin 1 Inman, Daniel J. 1 Jonckheere, Edmond A. 1 Kimura, Hidenori 1 Klema, Virginia C. 1 Koç, Çetin Kaya 1 Lancaster, Peter 1 Lindquist, Anders Gunnar 1 Ljung, Lennart 1 Martin, Clyde Franklin 1 McFarlane, A. J. G. 1 Oshman, Yaakov 1 Packard, Andrew Kelly 1 Patel, Rajni V. 1 Picci, Giorgio 1 Poznyak, Aleksandr Semënovich 1 Rochelle, R. W. 1 Rodman, Leiba X. 1 Roy, Sumit 1 Safonov, Michael George 1 Sandell, Nils R. jun. 1 Shayman, Mark A. 1 Skelton, Robert E. 1 Stein, Gunter 1 Thompson, Peter M. 1 Trentelman, Harry L. 1 Tsypkin, Yakov Zalmanovich 1 Van Dooren, Paul M. 1 Varaiya, Pravin Pratap 1 Vidyasagar, Mathukumalli 1 Willems, Jacques L. 1 Williams, Trevor 1 Wonham, W. Murray
all top 5

### Serials

 35 IEEE Transactions on Automatic Control 12 SIAM Journal on Matrix Analysis and Applications 8 International Journal of Control 4 Automatica 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Scientific Computing 2 Journal of Guidance, Control and Dynamics 2 ACM Transactions on Mathematical Software 2 SIAM Journal on Scientific and Statistical Computing 2 Systems & Control Letters 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Dynamic Systems, Measurement and Control 2 Numerical Linear Algebra with Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 IMA Journal of Mathematical Control and Information 1 International Journal of High Speed Computing 1 Numerical Algorithms 1 Celestial Mechanics 1 Linear Algebra and its Applications 1 European Journal of Control 1 Communications and Control Engineering
all top 5

### Fields

 72 Systems theory; control (93-XX) 53 Numerical analysis (65-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 9 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

90 Publications have been cited 1,806 times in 1,395 Documents Cited by Year
A Schur method for solving algebraic Riccati equations. Zbl 0424.65013
Laub, Alan J.
1979
Matrix analysis for scientists and engineers. Zbl 1077.15001
Laub, Alan J.
2005
The linear-quadratic optimal regulator for descriptor systems. Zbl 0624.93030
Bender, Douglas J.; Laub, Alan J.
1987
On the numerical solution of the discrete-time algebraic Riccati equation. Zbl 0456.49010
Pappas, T.; Laub, A. J.; Sandell, N. R. jun.
1980
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.
1987
Feedback properties of multivariable systems: The role and use of the return difference matrix. Zbl 0478.93030
Safonov, Michael G.; Laub, Alan J.; Hartmann, Gary L.
1981
The singular value decomposition: Its computation and some applications. Zbl 0433.93018
Klema, Virginia C.; Laub, Alan J.
1980
The Riccati equation. Zbl 0734.34004
1991
On the iterative solution of a class of nonsymmetric algebraic Riccati equations. Zbl 0973.65025
Guo, Chun-Hua; Laub, Alan J.
2000
Canonical forms for symplectic and Hamiltonian matrices. Zbl 0316.15005
Laub, Alan J.; Meyer, Kenneth
1974
Solution of the Sylvester matrix equation $$AXB^T+CXD^T=E$$. Zbl 0893.65026
Gardiner, Judith D.; Laub, Alan J.; Amato, James J.; Moler, Cleve B.
1992
Numerical solution of the discrete-time periodic Riccati equation. Zbl 0804.93037
Hench, J. J.; Laub, A. J.
1994
The matrix sign function. Zbl 0830.93022
Kenney, Charles S.; Laub, Alan J.
1995
Rational iterative methods for the matrix sign function. Zbl 0725.65048
Kenney, Charles; Laub, Alan J.
1991
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.
1986
Condition estimates for matrix functions. Zbl 0684.65039
Kenney, Charles; Laub, Alan J.
1989
Decentralized structures for parallel Kalman filtering. Zbl 0644.93061
Hashemipour, Hamid R.; Roy, Sumit; Laub, Alan J.
1988
Small-sample statistical condition estimates for general matrix functions. Zbl 0801.65042
Kenney, C. S.; Laub, A. J.
1994
A generalization of the matrix-sign-function solution for algebraic Riccati equations. Zbl 0598.15012
Gardiner, Judith D.; Laub, Alan J.
1986
The linear-quadratic optimal regulator for descriptor systems: Discrete- time case. Zbl 0612.93045
Bender, Douglas J.; Laub, Alan J.
1987
Approximating the logarithm of a matrix to specified accuracy. Zbl 0989.65057
Cheng, Sheung Hun; Higham, Nicholas J.; Kenney, Charles S.; Laub, Alan J.
2001
Numerical linear algebra aspects of control design computations. Zbl 0551.93025
Laub, Alan J.
1985
Controllability and observability criteria for multivariable linear second-order models. Zbl 0543.93005
Laub, Alan J.; Arnold, W. F.
1984
Efficient matrix-valued algorithms for solving stiff Riccati differential equations. Zbl 0714.93011
Choi, Chiu H.; Laub, Alan J.
1990
Computation of supremal (A,B)-invariant and controllability subspaces. Zbl 0394.93009
Moore, Bruce C.; Laub, Alan J.
1978
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
1995
A Schur-Fréchet algorithm for computing the logarithm and exponential of a matrix. Zbl 0913.65036
Kenney, C. S.; Laub, A. J.
1998
Calculation of transmission zeros using QZ techniques. Zbl 0393.93026
Laub, A. J.; Moore, B. C.
1978
Controllability and stability radii for companion form systems. Zbl 0657.93007
Kenney, Charles; Laub, Alan J.
1988
On a Newton-like method for solving algebraic Riccati equations. Zbl 0965.65067
Guo, Chun-Hua; Laub, Alan J.
2000
Statistical condition estimation for linear least squares. Zbl 0913.65035
Kenney, C. S.; Laub, A. J.; Reese, M. S.
1998
Statistical condition estimation for linear systems. Zbl 0915.15003
Kenney, C. S.; Laub, A. J.; Reese, M. S.
1998
Sensitivity of the stable discrete-time Lyapunov equation. Zbl 0721.93064
Gahinet, Pascal M.; Laub, Alan J.; Kenney, Charles S.; Hewer, Gary A.
1990
Polar decomposition and matrix sign function condition estimates. Zbl 0725.65047
Kenney, Charles; Laub, Alan J.
1991
Padé error estimates for the logarithm of a matrix. Zbl 0685.65036
Kenney, Charles; Laub, Alan J.
1989
On scaling Newton’s method for polar decomposition and the matrix sign function. Zbl 0754.65043
Kenney, Charles; Laub, Alan J.
1992
Scaling of the discrete-time algebraic Riccati equation to enhance stability of the Schur solution method. Zbl 0756.93051
Gudmundsson, Thorkell; Kenney, Charles; Laub, Alan J.
1992
Computable bounds for the sensitivity of the algebraic Riccati equation. Zbl 0728.93022
Gahinet, P.; Laub, A. J.
1990
Algebraic Riccati equations and the distance to the nearest uncontrollable pair. Zbl 0850.93113
Gahinet, P.; Laub, A. J.
1992
Applications of statistical condition estimation to the solution of linear systems. Zbl 1212.65130
Laub, A. J.; Xia, J.
2008
Approximate solution of large sparse Lyapunov equations. Zbl 0816.93041
Gudmundsson, Thorkell; Laub, Alan J.
1994
Spectral factorization with imaginary-axis zeros. Zbl 0868.15013
Clements, D. J.; Anderson, B. D. O.; Laub, A. J.; Matson, J. B.
1997
Small-sample statistical estimates for matrix norms. Zbl 0831.65051
Gudmundsson, T.; Kenney, C. S.; Laub, A. J.
1995
Backward error, sensitivity, and refinement of computed solutions of algebraic Riccati equations. Zbl 0829.65042
Ghavimi, Ali R.; Laub, Alan J.
1995
Parallel algorithms for algebraic Riccati equations. Zbl 0763.93036
Gardiner, Judith D.; Laub, Alan J.
1991
Hessenberg and Hessenberg/triangular forms in linear system theory. Zbl 0608.93017
Laub, Alan J.; Linnemann, Arno
1986
Error bounds for Newton refinement of solutions to algebraic Riccati equations. Zbl 0716.93013
Kenney, Charles; Laub, Alan J.; Wette, Matt
1990
A stability-enhancing scaling procedure for Schur-Riccati solvers. Zbl 0673.93020
Kenney, Charles; Laub, Alan J.; Wette, Matt
1989
Further discussion on the calculation of transmission zeros. Zbl 0379.93027
Axelby, G. S.; Laub, A. J.; Davison, E. J.
1978
Algorithm 705: A FORTRAN-77 software package for solving the Sylvester matrix equation $$AXB^T+CXD^T=E$$. Zbl 0893.65027
Gardiner, Judith D.; Wette, Matthew R.; Laub, Alan J.; Amato, James J.; Moler, Cleve B.
1992
Positive and negative solutions of dual Riccati equations by matrix sign function iteration. Zbl 0685.93058
Kenney, Charles; Laub, Alan J.; Jonckheere, Edmond A.
1989
Statistical condition estimation for the roots of polynomials. Zbl 1186.65058
Laub, A. J.; Xia, J.
2008
A hyperbolic tangent identity and the geometry of Padé sign function iterations. Zbl 0812.65035
Kenney, C. S.; Laub, A. J.
1994
Numerically reliable computation of optimal performance in singular $$H_ \infty$$ control. Zbl 0889.93022
Gahinet, Pascal; Laub, Alan J.
1997
Small-sample statistical estimates for the sensitivity of eigenvalue problems. Zbl 0889.65049
Gudmundsson, Thorkell; Kenney, Charles; Laub, Alan J.
1997
An inequality and some computations related to the robust stability of linear dynamic systems. Zbl 0399.93022
Laub, Alan J.
1979
Fast condition estimation for a class of structured eigenvalue problems. Zbl 1223.65026
Laub, A. J.; Xia, J.
2009
A parallel algorithm for the matrix sign function. Zbl 0728.65036
Pandey, Pradeep; Kenney, Charles; Laub, Alan J.
1990
Numerical linear algebra techniques for systems and control. Selected reprints. Zbl 0925.93005
1994
Matrix-sign algorithms for Riccati equations. Zbl 0787.65025
Kenney, Charles S.; Laub, Alan J.; Papadopoulos, Philip M.
1992
Finite-dimensional approximation and error bounds for spectral systems with partially known eigenstructure. Zbl 0821.93043
Erickson, M. A.; Smith, R. S.; Laub, A. J.
1994
Methods for the numerical integration of Hamiltonian systems. Zbl 0820.93022
Hench, J. J.; Kenney, C. S.; Laub, A. J.
1994
A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors. Zbl 0679.65018
Eğecioğlu, Ömer; Koc, Cetin K.; Laub, Alan J.
1989
Supoptimality bounds and stability in the control of nonlinear dynamic systems. Zbl 0325.49027
Laub, A. J.; Bailey, F. N.
1976
Correction to ”Computation of supremal (A,B)-invariant and controllability subspaces”. Zbl 0413.93015
Moore, B. C.; Laub, A. J.
1979
Local convergence analysis of conjugate gradient methods for solving algebraic Riccati equations. Zbl 0767.93067
Ghavimi, Ali R.; Kenney, Charles; Laub, Alan J.
1992
Residual bounds for discrete-time Lyapunov equations. Zbl 0923.93022
Ghavimi, Ali R.; Laub, Alan J.
1995
Power methods for calculating eigenvalues and eigenvectors of spectral operators on Hilbert spaces. Zbl 0853.35079
Erickson, M. A.; Smith, R. S.; Laub, A. J.
1995
A Schur method for solving algebraic Riccati equations. Zbl 0427.65027
Laub, Alan J.
1979
Constructing Riccati differential equations with known analytic solutions for numerical experiments. Zbl 0705.93019
Choi, Chiu H.; Laub, Alan J.
1990
Controllability and observability at infinity of multivariable linear second-order models. Zbl 0578.93006
Bender, Douglas J.; Laub, Alan J.
1985
A gradient method for computing the optimal $$H_{\infty{}}$$ norm. Zbl 0754.93005
Pandey, P.; Kenney, C.; Packard, A.; Laub, A. J.
1991
On the numerical solution of the discrete-time periodic Riccati equation. Zbl 0805.65063
Hench, J. J.; Laub, A. J.
1994
Expert systems techniques in a computer-based control system analysis and design environment. Zbl 0664.93025
Birdwell, J. D.; Cockett, J. R. B.; Heller, R.; Rochelle, R. W.; Laub, A. J.; Athans, M.; Hatfield, L.
1986
Schur techniques for Riccati differential equations. Zbl 0492.93039
Laub, Alan J.
1982
Square-root state estimation for second-order large space structures models. Zbl 0694.93100
Oshman, Yaakov; Inman, Daniel J.; Laub, Alan J.
1989
Orthogonal canonical forms for second-order systems. Zbl 0767.93008
Williams, Trevor; Laub, Alan J.
1992
Numerical methods for nearly singular constrained matrix Sylvester equations. Zbl 0842.65027
Ghavimi, Ali R.; Laub, Alan J.
1996
Algebraic aspects of generalized eigenvalue problems for solving Riccati equations. Zbl 0604.15008
Laub, Alan J.
1986
Hessenberg forms in linear systems theory. Zbl 0605.93014
Laub, Alan J.; Linnemann, Arno
1986
Balanced singular values for LQG/LTR design. Zbl 0608.93027
Birdwell, J. Douglas; Laub, Alan J.
1987
Kalman filtering for second-order models. Zbl 0671.93061
Hashemipour, Hamid R.; Laub, Alan J.
1988
Frequency response computation via rational interpolation. Zbl 0784.93065
Kenney, Charles; Laub, Alan J.; Stubberud, Stephen
1993
A Newton-squaring algorithm for computing the negative invariant subspace of a matrix. Zbl 0800.93036
Kenney, C. S.; Laub, A. J.; Papadopoulos, P. M.
1993
An implicit deflation method for ill-conditioned Sylvester and Lyapunov equations. Zbl 0833.93023
Ghavimi, Ali R.; Laub, Alan J.
1995
Riccati difference equations for discrete time spectral factorization with unit circle zeros. Zbl 0881.93042
Matson, Jeremy B.; Anderson, Brian D. O.; Laub, Alan J.; Clements, David J.
1995
Numerical improvements for solving Riccati equations. Zbl 0891.93032
Laub, Alan J.; Gahinet, Pascal
1997
A linear algebra approach to the analysis of rigid body velocity from position and velocity data. Zbl 0509.93038
Laub, A. J.; Shiflett, G. R.
1983
Computation of approximate null vectors of Sylvester and Lyapunov operators. Zbl 0824.93022
Ghavimi, Ali R.; Laub, Alan J.
1995
Survey of computational methods in control theory. Zbl 0461.93026
Laub, Alan J.
1980
Fast condition estimation for a class of structured eigenvalue problems. Zbl 1223.65026
Laub, A. J.; Xia, J.
2009
Applications of statistical condition estimation to the solution of linear systems. Zbl 1212.65130
Laub, A. J.; Xia, J.
2008
Statistical condition estimation for the roots of polynomials. Zbl 1186.65058
Laub, A. J.; Xia, J.
2008
Matrix analysis for scientists and engineers. Zbl 1077.15001
Laub, Alan J.
2005
Approximating the logarithm of a matrix to specified accuracy. Zbl 0989.65057
Cheng, Sheung Hun; Higham, Nicholas J.; Kenney, Charles S.; Laub, Alan J.
2001
On the iterative solution of a class of nonsymmetric algebraic Riccati equations. Zbl 0973.65025
Guo, Chun-Hua; Laub, Alan J.
2000
On a Newton-like method for solving algebraic Riccati equations. Zbl 0965.65067
Guo, Chun-Hua; Laub, Alan J.
2000
A Schur-Fréchet algorithm for computing the logarithm and exponential of a matrix. Zbl 0913.65036
Kenney, C. S.; Laub, A. J.
1998
Statistical condition estimation for linear least squares. Zbl 0913.65035
Kenney, C. S.; Laub, A. J.; Reese, M. S.
1998
Statistical condition estimation for linear systems. Zbl 0915.15003
Kenney, C. S.; Laub, A. J.; Reese, M. S.
1998
Spectral factorization with imaginary-axis zeros. Zbl 0868.15013
Clements, D. J.; Anderson, B. D. O.; Laub, A. J.; Matson, J. B.
1997
Numerically reliable computation of optimal performance in singular $$H_ \infty$$ control. Zbl 0889.93022
Gahinet, Pascal; Laub, Alan J.
1997
Small-sample statistical estimates for the sensitivity of eigenvalue problems. Zbl 0889.65049
Gudmundsson, Thorkell; Kenney, Charles; Laub, Alan J.
1997
Numerical improvements for solving Riccati equations. Zbl 0891.93032
Laub, Alan J.; Gahinet, Pascal
1997
Numerical methods for nearly singular constrained matrix Sylvester equations. Zbl 0842.65027
Ghavimi, Ali R.; Laub, Alan J.
1996
The matrix sign function. Zbl 0830.93022
Kenney, Charles S.; Laub, Alan J.
1995
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
1995
Small-sample statistical estimates for matrix norms. Zbl 0831.65051
Gudmundsson, T.; Kenney, C. S.; Laub, A. J.
1995
Backward error, sensitivity, and refinement of computed solutions of algebraic Riccati equations. Zbl 0829.65042
Ghavimi, Ali R.; Laub, Alan J.
1995
Residual bounds for discrete-time Lyapunov equations. Zbl 0923.93022
Ghavimi, Ali R.; Laub, Alan J.
1995
Power methods for calculating eigenvalues and eigenvectors of spectral operators on Hilbert spaces. Zbl 0853.35079
Erickson, M. A.; Smith, R. S.; Laub, A. J.
1995
An implicit deflation method for ill-conditioned Sylvester and Lyapunov equations. Zbl 0833.93023
Ghavimi, Ali R.; Laub, Alan J.
1995
Riccati difference equations for discrete time spectral factorization with unit circle zeros. Zbl 0881.93042
Matson, Jeremy B.; Anderson, Brian D. O.; Laub, Alan J.; Clements, David J.
1995
Computation of approximate null vectors of Sylvester and Lyapunov operators. Zbl 0824.93022
Ghavimi, Ali R.; Laub, Alan J.
1995
Numerical solution of the discrete-time periodic Riccati equation. Zbl 0804.93037
Hench, J. J.; Laub, A. J.
1994
Small-sample statistical condition estimates for general matrix functions. Zbl 0801.65042
Kenney, C. S.; Laub, A. J.
1994
Approximate solution of large sparse Lyapunov equations. Zbl 0816.93041
Gudmundsson, Thorkell; Laub, Alan J.
1994
A hyperbolic tangent identity and the geometry of Padé sign function iterations. Zbl 0812.65035
Kenney, C. S.; Laub, A. J.
1994
Numerical linear algebra techniques for systems and control. Selected reprints. Zbl 0925.93005
1994
Finite-dimensional approximation and error bounds for spectral systems with partially known eigenstructure. Zbl 0821.93043
Erickson, M. A.; Smith, R. S.; Laub, A. J.
1994
Methods for the numerical integration of Hamiltonian systems. Zbl 0820.93022
Hench, J. J.; Kenney, C. S.; Laub, A. J.
1994
On the numerical solution of the discrete-time periodic Riccati equation. Zbl 0805.65063
Hench, J. J.; Laub, A. J.
1994
Frequency response computation via rational interpolation. Zbl 0784.93065
Kenney, Charles; Laub, Alan J.; Stubberud, Stephen
1993
A Newton-squaring algorithm for computing the negative invariant subspace of a matrix. Zbl 0800.93036
Kenney, C. S.; Laub, A. J.; Papadopoulos, P. M.
1993
Solution of the Sylvester matrix equation $$AXB^T+CXD^T=E$$. Zbl 0893.65026
Gardiner, Judith D.; Laub, Alan J.; Amato, James J.; Moler, Cleve B.
1992
On scaling Newton’s method for polar decomposition and the matrix sign function. Zbl 0754.65043
Kenney, Charles; Laub, Alan J.
1992
Scaling of the discrete-time algebraic Riccati equation to enhance stability of the Schur solution method. Zbl 0756.93051
Gudmundsson, Thorkell; Kenney, Charles; Laub, Alan J.
1992
Algebraic Riccati equations and the distance to the nearest uncontrollable pair. Zbl 0850.93113
Gahinet, P.; Laub, A. J.
1992
Algorithm 705: A FORTRAN-77 software package for solving the Sylvester matrix equation $$AXB^T+CXD^T=E$$. Zbl 0893.65027
Gardiner, Judith D.; Wette, Matthew R.; Laub, Alan J.; Amato, James J.; Moler, Cleve B.
1992
Matrix-sign algorithms for Riccati equations. Zbl 0787.65025
Kenney, Charles S.; Laub, Alan J.; Papadopoulos, Philip M.
1992
Local convergence analysis of conjugate gradient methods for solving algebraic Riccati equations. Zbl 0767.93067
Ghavimi, Ali R.; Kenney, Charles; Laub, Alan J.
1992
Orthogonal canonical forms for second-order systems. Zbl 0767.93008
Williams, Trevor; Laub, Alan J.
1992
The Riccati equation. Zbl 0734.34004
1991
Rational iterative methods for the matrix sign function. Zbl 0725.65048
Kenney, Charles; Laub, Alan J.
1991
Polar decomposition and matrix sign function condition estimates. Zbl 0725.65047
Kenney, Charles; Laub, Alan J.
1991
Parallel algorithms for algebraic Riccati equations. Zbl 0763.93036
Gardiner, Judith D.; Laub, Alan J.
1991
A gradient method for computing the optimal $$H_{\infty{}}$$ norm. Zbl 0754.93005
Pandey, P.; Kenney, C.; Packard, A.; Laub, A. J.
1991
Efficient matrix-valued algorithms for solving stiff Riccati differential equations. Zbl 0714.93011
Choi, Chiu H.; Laub, Alan J.
1990
Sensitivity of the stable discrete-time Lyapunov equation. Zbl 0721.93064
Gahinet, Pascal M.; Laub, Alan J.; Kenney, Charles S.; Hewer, Gary A.
1990
Computable bounds for the sensitivity of the algebraic Riccati equation. Zbl 0728.93022
Gahinet, P.; Laub, A. J.
1990
Error bounds for Newton refinement of solutions to algebraic Riccati equations. Zbl 0716.93013
Kenney, Charles; Laub, Alan J.; Wette, Matt
1990
A parallel algorithm for the matrix sign function. Zbl 0728.65036
Pandey, Pradeep; Kenney, Charles; Laub, Alan J.
1990
Constructing Riccati differential equations with known analytic solutions for numerical experiments. Zbl 0705.93019
Choi, Chiu H.; Laub, Alan J.
1990
Condition estimates for matrix functions. Zbl 0684.65039
Kenney, Charles; Laub, Alan J.
1989
Padé error estimates for the logarithm of a matrix. Zbl 0685.65036
Kenney, Charles; Laub, Alan J.
1989
A stability-enhancing scaling procedure for Schur-Riccati solvers. Zbl 0673.93020
Kenney, Charles; Laub, Alan J.; Wette, Matt
1989
Positive and negative solutions of dual Riccati equations by matrix sign function iteration. Zbl 0685.93058
Kenney, Charles; Laub, Alan J.; Jonckheere, Edmond A.
1989
A recursive doubling algorithm for solution of tridiagonal systems on hypercube multiprocessors. Zbl 0679.65018
Eğecioğlu, Ömer; Koc, Cetin K.; Laub, Alan J.
1989
Square-root state estimation for second-order large space structures models. Zbl 0694.93100
Oshman, Yaakov; Inman, Daniel J.; Laub, Alan J.
1989
Decentralized structures for parallel Kalman filtering. Zbl 0644.93061
Hashemipour, Hamid R.; Roy, Sumit; Laub, Alan J.
1988
Controllability and stability radii for companion form systems. Zbl 0657.93007
Kenney, Charles; Laub, Alan J.
1988
Kalman filtering for second-order models. Zbl 0671.93061
Hashemipour, Hamid R.; Laub, Alan J.
1988
The linear-quadratic optimal regulator for descriptor systems. Zbl 0624.93030
Bender, Douglas J.; Laub, Alan J.
1987
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.
1987
The linear-quadratic optimal regulator for descriptor systems: Discrete- time case. Zbl 0612.93045
Bender, Douglas J.; Laub, Alan J.
1987
Balanced singular values for LQG/LTR design. Zbl 0608.93027
Birdwell, J. Douglas; Laub, Alan J.
1987
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.
1986
A generalization of the matrix-sign-function solution for algebraic Riccati equations. Zbl 0598.15012
Gardiner, Judith D.; Laub, Alan J.
1986
Hessenberg and Hessenberg/triangular forms in linear system theory. Zbl 0608.93017
Laub, Alan J.; Linnemann, Arno
1986
Expert systems techniques in a computer-based control system analysis and design environment. Zbl 0664.93025
Birdwell, J. D.; Cockett, J. R. B.; Heller, R.; Rochelle, R. W.; Laub, A. J.; Athans, M.; Hatfield, L.
1986
Algebraic aspects of generalized eigenvalue problems for solving Riccati equations. Zbl 0604.15008
Laub, Alan J.
1986
Hessenberg forms in linear systems theory. Zbl 0605.93014
Laub, Alan J.; Linnemann, Arno
1986
Numerical linear algebra aspects of control design computations. Zbl 0551.93025
Laub, Alan J.
1985
Controllability and observability at infinity of multivariable linear second-order models. Zbl 0578.93006
Bender, Douglas J.; Laub, Alan J.
1985
Controllability and observability criteria for multivariable linear second-order models. Zbl 0543.93005
Laub, Alan J.; Arnold, W. F.
1984
A linear algebra approach to the analysis of rigid body velocity from position and velocity data. Zbl 0509.93038
Laub, A. J.; Shiflett, G. R.
1983
Schur techniques for Riccati differential equations. Zbl 0492.93039
Laub, Alan J.
1982
Feedback properties of multivariable systems: The role and use of the return difference matrix. Zbl 0478.93030
Safonov, Michael G.; Laub, Alan J.; Hartmann, Gary L.
1981
On the numerical solution of the discrete-time algebraic Riccati equation. Zbl 0456.49010
Pappas, T.; Laub, A. J.; Sandell, N. R. jun.
1980
The singular value decomposition: Its computation and some applications. Zbl 0433.93018
Klema, Virginia C.; Laub, Alan J.
1980
Survey of computational methods in control theory. Zbl 0461.93026
Laub, Alan J.
1980
A Schur method for solving algebraic Riccati equations. Zbl 0424.65013
Laub, Alan J.
1979
An inequality and some computations related to the robust stability of linear dynamic systems. Zbl 0399.93022
Laub, Alan J.
1979
Correction to ”Computation of supremal (A,B)-invariant and controllability subspaces”. Zbl 0413.93015
Moore, B. C.; Laub, A. J.
1979
A Schur method for solving algebraic Riccati equations. Zbl 0427.65027
Laub, Alan J.
1979
Computation of supremal (A,B)-invariant and controllability subspaces. Zbl 0394.93009
Moore, Bruce C.; Laub, Alan J.
1978
Calculation of transmission zeros using QZ techniques. Zbl 0393.93026
Laub, A. J.; Moore, B. C.
1978
Further discussion on the calculation of transmission zeros. Zbl 0379.93027
Axelby, G. S.; Laub, A. J.; Davison, E. J.
1978
Supoptimality bounds and stability in the control of nonlinear dynamic systems. Zbl 0325.49027
Laub, A. J.; Bailey, F. N.
1976
Canonical forms for symplectic and Hamiltonian matrices. Zbl 0316.15005
Laub, Alan J.; Meyer, Kenneth
1974
all top 5

### Cited by 1,901 Authors

 32 Benner, Peter 22 Mehrmann, Volker 17 Wei, Yimin 14 Laub, Alan J. 14 Lin, Wen-Wei 13 Van Dooren, Paul M. 11 Petkov, Petko Hr. 10 Fan, Hung-Yuan 10 Konstantinov, Mikhail Mikhajlov 10 Li, Rencang 10 Mizukami, Koichi 10 Saak, Jens 10 Soleymani, Fazlollah 10 Stykel, Tatjana 10 Xu, Hongguo 9 Cardoso, João R. 9 Jbilou, Khalide 9 Kenney, Charles S. 9 King-wah Chu, Eric 9 Larin, Vladimir Borisovich 9 Rodman, Leiba X. 9 Xu, Hua 8 Chen, Xiaoshan 8 Dehghan Takht Fooladi, Mehdi 8 Diao, Huaian 8 Faßbender, Heike 8 Higham, Nicholas J. 8 Jonckheere, Edmond A. 8 Li, Hanyu 8 Ma, Changfeng 8 Mukaidani, Hiroaki 8 Ntogramatzidis, Lorenzo 8 Quintana-Ortí, Enrique S. 7 Hernández, Vicente G. 7 Kressner, Daniel 7 Lin, Yiqin 7 Mehl, Christian 7 Meini, Beatrice 7 Poloni, Federico G. 7 Ran, André C. M. 7 Wang, Shaoxin 6 Aliev, Fikret Akhmedalioglu 6 Chiang, Chun-Yueh 6 Dong, Ning 6 Engwerda, Jacob Christiaan 6 Guo, Chun-Hua 6 Iannazzo, Bruno 6 Lovass-Nagy, Victor 6 Reis, Timo 6 Samar, Mahvish 6 Song, Chongmin 6 Tsai, Jason Sheng-Hong 6 Xu, Shufang 6 Xue, Jungong 6 Ziętak, Krystyna 5 Bini, Dario Andrea 5 Boyd, Stephen Poythress 5 Byers, Ralph 5 Chang, Fan-Ren 5 Chu, Delin 5 De Moor, Bart L. R. 5 Dieci, Luca 5 Duan, Guangren 5 Fang, Chunhsiung 5 He, ZhuoHeng 5 Ibáñez González, Jacinto Javier 5 Kalenova, Vera I. 5 Katayama, Tohru 5 Lewkowicz, Izchak 5 Li, Wen 5 Misra, Pradeep 5 Morozov, Victor M. 5 Shateyi, Stanford 5 Silva Leite, Fátima 5 Simoncini, Valeria 5 Sun, Jiguang 5 Verhaegen, Michel 5 Wei, Musheng 5 Wimmer, Harald K. 5 Zhang, Liping 5 Zhu, Yunmin 4 Buchot, Jean-Marie 4 Bujanović, Zvonimir 4 Christov, Nicolai D. 4 Chu, Eric K.-W. 4 Dongarra, Jack J. 4 El-Tohami, Mohammad 4 Ferrante, Augusto 4 Geerts, Ton 4 Gu, Dawei 4 Hernández-Verón, Miguel Ángel 4 Ignaciuk, Przemysław 4 Jia, Zhigang 4 Kågström, Bo 4 Kim, Hyunmin 4 Kurbatov, Vitaliĭ Gennad’evich 4 Kurbatova, Irina Vital’evna 4 Kürschner, Patrick 4 Lancaster, Peter 4 Latouche, Guy ...and 1,801 more Authors
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### Cited in 239 Serials

 148 Linear Algebra and its Applications 140 International Journal of Control 120 Automatica 65 Systems & Control Letters 58 International Journal of Systems Science 56 Journal of Computational and Applied Mathematics 44 Applied Mathematics and Computation 27 Journal of the Franklin Institute 27 Numerical Linear Algebra with Applications 26 Numerical Algorithms 25 Applied Numerical Mathematics 19 SIAM Journal on Matrix Analysis and Applications 18 Computers & Mathematics with Applications 18 Numerische Mathematik 17 Journal of Optimization Theory and Applications 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational Physics 13 Linear and Multilinear Algebra 13 Journal of Scientific Computing 13 SIAM Journal on Scientific Computing 13 Mathematical Problems in Engineering 12 BIT 12 Circuits, Systems, and Signal Processing 12 International Journal of Computer Mathematics 11 Kybernetika 11 Applied Mathematics Letters 11 MCSS. Mathematics of Control, Signals, and Systems 11 European Journal of Control 9 Journal of Mathematical Analysis and Applications 9 International Journal of Robust and Nonlinear Control 9 Computational and Applied Mathematics 8 Optimal Control Applications & Methods 7 Mathematics of Computation 7 Journal of Economic Dynamics & Control 6 Calcolo 6 SIAM Journal on Control and Optimization 6 Journal of Applied Mathematics 5 Journal of Mathematical Physics 5 Journal of Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Abstract and Applied Analysis 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 4 Journal of Applied Mathematics and Mechanics 4 Journal of Fluid Mechanics 4 Mathematics and Computers in Simulation 4 Mathematical and Computer Modelling 4 Journal of Robotic Systems 4 Applied Mathematical Modelling 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Mathematical Sciences (New York) 4 ELA. The Electronic Journal of Linear Algebra 4 Parallel Algorithms and Applications 4 Mathematical and Computer Modelling of Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Systems Science and Complexity 4 Journal of Control Theory and Applications 3 Computer Physics Communications 3 Journal of Engineering Mathematics 3 Ukrainian Mathematical Journal 3 Information Sciences 3 Computational Mechanics 3 International Journal of Adaptive Control and Signal Processing 3 Automation and Remote Control 3 Pattern Recognition 3 SIAM Review 3 Computational Optimization and Applications 3 Advances in Computational Mathematics 3 Engineering Analysis with Boundary Elements 3 Multibody System Dynamics 3 Nonlinear Dynamics 3 Stochastic Models 3 Mediterranean Journal of Mathematics 3 EURASIP Journal on Advances in Signal Processing 3 SIAM/ASA Journal on Uncertainty Quantification 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mechanica 2 Advances in Applied Probability 2 Prikladnaya Matematika i Mekhanika 2 Integral Equations and Operator Theory 2 International Journal for Numerical Methods in Engineering 2 Journal of Econometrics 2 Journal of Multivariate Analysis 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Algebraic and Discrete Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Multidimensional Systems and Signal Processing 2 Journal of Intelligent & Robotic Systems 2 Journal of Global Optimization 2 Journal of Elasticity 2 Computational Statistics and Data Analysis 2 Journal of Computer and Systems Sciences International 2 Applied Mathematics. Series B (English Edition) 2 International Applied Mechanics 2 International Journal of Computer Vision 2 Complexity 2 Journal of Vibration and Control 2 Optimization Methods & Software 2 Soft Computing 2 Chaos ...and 139 more Serials
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### Cited in 53 Fields

 677 Systems theory; control (93-XX) 561 Numerical analysis (65-XX) 472 Linear and multilinear algebra; matrix theory (15-XX) 136 Calculus of variations and optimal control; optimization (49-XX) 104 Ordinary differential equations (34-XX) 56 Operations research, mathematical programming (90-XX) 51 Partial differential equations (35-XX) 51 Mechanics of particles and systems (70-XX) 38 Operator theory (47-XX) 37 Statistics (62-XX) 35 Mechanics of deformable solids (74-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Computer science (68-XX) 31 Probability theory and stochastic processes (60-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Fluid mechanics (76-XX) 18 Information and communication theory, circuits (94-XX) 16 Difference and functional equations (39-XX) 16 Biology and other natural sciences (92-XX) 14 Approximations and expansions (41-XX) 11 Real functions (26-XX) 11 Functions of a complex variable (30-XX) 11 Quantum theory (81-XX) 8 Optics, electromagnetic theory (78-XX) 7 Combinatorics (05-XX) 7 Nonassociative rings and algebras (17-XX) 7 Special functions (33-XX) 6 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 4 Group theory and generalizations (20-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)