Alan J. Laub

Publication Activity (10 Years)

Years Active: 1978-2013
Publications (10 Years): 0

Top Topics

Solving Problems

Linear Least Squares

Top Venues

Publications

Marc Baboulin, Serge Gratton, Rémi Lacroix, Alan J. Laub
Statistical Estimates for the Conditioning of Linear Least Squares Problems. PPAM (1) (2013)
Alan J. Laub, Jianlin Xia
Applications of statistical condition estimation to the solution of linear systems. Numer. Linear Algebra Appl. 15 (6) (2008)
Alan J. Laub, Jianlin Xia
Statistical Condition Estimation for the Roots of Polynomials. SIAM J. Sci. Comput. 31 (1) (2008)
Alan J. Laub, Jianlin Xia
Fast Condition Estimation for a Class of Structured Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 30 (4) (2008)
Sheung Hun Cheng, Nicholas J. Higham, Charles S. Kenney, Alan J. Laub
Approximating the Logarithm of a Matrix to Specified Accuracy. SIAM J. Matrix Anal. Appl. 22 (4) (2001)
Chun-Hua Guo, Alan J. Laub
On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations. SIAM J. Matrix Anal. Appl. 22 (2) (2000)
Chun-Hua Guo, Alan J. Laub
On a Newton-Like Method for Solving Algebraic Riccati Equations. SIAM J. Matrix Anal. Appl. 21 (2) (2000)
Charles S. Kenney, Alan J. Laub, M. S. Reese
Statistical Condition Estimation for Linear Least Squares. SIAM J. Matrix Anal. Appl. 19 (4) (1998)
Charles S. Kenney, Alan J. Laub
A Schur-Fréchet Algorithm for Computing the Logarithm and Exponential of a Matrix. SIAM J. Matrix Anal. Appl. 19 (3) (1998)
Charles S. Kenney, Alan J. Laub, M. S. Reese
Statistical Condition Estimation for Linear Systems. SIAM J. Sci. Comput. 19 (2) (1998)
Alan J. Laub, Pascal Gahinet
Numerical improvements for solving Riccati equations. IEEE Trans. Autom. Control. 42 (9) (1997)
Ali R. Ghavimi, Alan J. Laub
Numerical Methods for Nearly Singular Constrained Matrix Sylvester Equations. SIAM J. Matrix Anal. Appl. 17 (1) (1996)
Ali R. Ghavimi, Alan J. Laub
Residual bounds for discrete-time Lyapunov equations. IEEE Trans. Autom. Control. 40 (7) (1995)
Charles S. Kenney, Alan J. Laub
The matrix sign function. IEEE Trans. Autom. Control. 40 (8) (1995)
M. A. Erickson, Alan J. Laub
An algorithmic test for checking stability of feedback spectral systems. Autom. 31 (1) (1995)
Ali R. Ghavimi, Alan J. Laub
Computation of approximate null vectors of Sylvester and Lyapunov operators. IEEE Trans. Autom. Control. 40 (2) (1995)
Thorkell Gudmundsson, Charles S. Kenney, Alan J. Laub
Small-Sample Statistical Estimates for Matrix Norms. SIAM J. Matrix Anal. Appl. 16 (3) (1995)
Ali R. Ghavimi, Alan J. Laub
Backward error, sensitivity, and refinement of computed solutions of algebraic Riccati equations. Numer. Linear Algebra Appl. 2 (1) (1995)
M. A. Erickson, Roy S. Smith, Alan J. Laub
Finite-dimensional approximation and error bounds for spectral systems with partially known eigenstructure. IEEE Trans. Autom. Control. 39 (9) (1994)
J. J. Hench, Alan J. Laub
Numerical solution of the discrete-time periodic Riccati equation. IEEE Trans. Autom. Control. 39 (6) (1994)
Charles S. Kenney, Alan J. Laub
Small-Sample Statistical Condition Estimates for General Matrix Functions. SIAM J. Sci. Comput. 15 (1) (1994)
Charles S. Kenney, Alan J. Laub
A hyperbolic tangent identity and the geometry of Padé sign function iterations. Numer. Algorithms 7 (2) (1994)
Thorkell Gudmundsson, Alan J. Laub
Approximate solution of large sparse Lyapunov equations. IEEE Trans. Autom. Control. 39 (5) (1994)
Petko Hr. Petkov, Nicolai Christov, Mihail Konstantinov, T. Gunmundson, Crystal Kenney, Alan J. Laub
Comments on "Scaling of the discrete-time algebraic Riccati equation to enhance stability of the Schur solution method" [with reply]. IEEE Trans. Autom. Control. 38 (7) (1993)
Charles S. Kenney, Alan J. Laub, Stephen C. Stubberud
Frequency response computation via rational interpolation. IEEE Trans. Autom. Control. 38 (8) (1993)
Charles S. Kenney, Alan J. Laub, P. M. Papadopoulos
A Newton-squaring algorithm for computing the negative invariant subspace of a matrix. IEEE Trans. Autom. Control. 38 (8) (1993)
Judith D. Gardiner, Alan J. Laub, James J. Amato, Cleve B. Moler
Solution of the Sylvester matrix equation AXBT + CXDT = E. ACM Trans. Math. Softw. 18 (2) (1992)
Charles S. Kenney, Alan J. Laub
On Scaling Newton's Method for Polar Decomposition and the Matrix Sign Function. SIAM J. Matrix Anal. Appl. 13 (3) (1992)
Judith D. Gardiner, Matthew R. Wette, Alan J. Laub, James J. Amato, Cleve B. Moler
Algorithm 705; a FORTRAN-77 software package for solving the Sylvester matrix equation AXBT + CXDT = E. ACM Trans. Math. Softw. 18 (2) (1992)
Charles S. Kenney, Alan J. Laub
Polar Decomposition and Matrix Sign Function Condition Estimates. SIAM J. Sci. Comput. 12 (3) (1991)
Pradeep Pandey, Charles S. Kenney, Alan J. Laub
A Parallel Algorithm for the Matrix Sign Function. Int. J. High Speed Comput. 2 (2) (1990)
Charles S. Kenney, Alan J. Laub, Matthew R. Wette
Error bounds for Newton refinement of solutions to algebraic riccati equations. Math. Control. Signals Syst. 3 (3) (1990)
Robert D. Brandt, Yao Wang, Alan J. Laub, Sanjit K. Mitra
The recognition of shapes in binary images using a gradient classifier. IEEE Trans. Syst. Man Cybern. 19 (6) (1989)
Robert D. Brandt, Yao Wang, Alan J. Laub, Sanjit K. Mitra
Alternative networks for solving the traveling salesman problem and the list-matching problem. ICNN (1988)
Charles S. Kenney, Alan J. Laub
Controllability and stability radii for companion form systems. Math. Control. Signals Syst. 1 (3) (1988)
Judith D. Gardiner, Alan J. Laub
Solving the algebraic Riccati equation on a hypercube multiprocessor. C³P (1988)
Ömer Egecioglu, Çetin Kaya Koç, Alan J. Laub
Prefix algorithms for tridiagonal systems on hypercube multiprocessors. C³P (1988)
Douglas J. Bender, Alan J. Laub
The linear-quadratic optimal regulator for descriptor systems: Discrete-time case. Autom. 23 (1) (1987)
Alan J. Laub
Algorithm 640: Efficient calculation of frequency response matrices from state space models. ACM Trans. Math. Softw. 12 (1) (1986)
George S. Axelby, Alan J. Laub, Edward J. Davison
Further discussion on the calculation of transmission zeros. Autom. 14 (4) (1978)
Alan J. Laub, B. C. Moore
Calculation of transmission zeros using QZ techniques. Autom. 14 (6) (1978)