2026 Alan J. Laub: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	45	1435	636	154	11623

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

1435

636

154

11623

Research.com Recognitions

2016 - SIAM Fellow For contributions to the numerical solution of problems in control and filtering.
1986 - IEEE Fellow For contributions to algorithms, numerical analysis, and mathematical software for control and systems theory.

Overview

Alan J. Laub is affiliated with the University of California, Santa Barbara in the United States. Their professional work centers around control and systems theory, with a focus on numerical solutions to related problems.

They have been recognized as a Fellow of the Society for Industrial and Applied Mathematics (SIAM) in 2016, specifically cited for contributions to the numerical solution of problems in control and filtering.

Additionally, Alan J. Laub was named an IEEE Fellow in 1986, acknowledged for contributions to algorithms, numerical analysis, and mathematical software applicable to control and systems theory.

Best Publications

Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms

A. Laub;M. Heath;C. Paige;R. Ward

816
Citations
Feedback properties of multivariable systems: The role and use of the return difference matrix

M. Safonov;A. Laub;G. Hartmann

677
Citations
Decentralized structures for parallel Kalman filtering

H.R. Hashemipour;S. Roy;A.J. Laub

654
Citations
The linear-quadratic optimal regulator for descriptor systems

D. Bender;A. Laub

594
Citations
Generalized eigenproblem algorithms and software for algebraic Riccati equations

Unknown

560
Citations
The matrix sign function

C.S. Kenney;A.J. Laub

291
Citations
Solution of the Sylvester matrix equation AXBT + CXDT = E

Judith D. Gardiner;Alan J. Laub;James J. Amato;Cleve B. Moler

280
Citations
Numerical solution of the discrete-time periodic Riccati equation

J.J. Hench;A.J. Laub

225
Citations
Rational iterative methods for the matrix sign function

Charles Kenney;Alan J. Laub

207
Citations
Approximating the Logarithm of a Matrix to Specified Accuracy

Sheung Hun Cheng;Nicholas J. Higham;Charles S. Kenney;Alan J. Laub

198
Citations
On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations

Chun-Hua Guo;Alan J. Laub

184
Citations
Condition Estimates for Matrix Functions

Charles Kenney;Alan J. Laub

183
Citations
Numerical linear algebra aspects of control design computations

A. Laub

181
Citations
Invariant Subspace Methods for the Numerical Solution of Riccati Equations

Unknown

176
Citations
Canonical forms for symplectic and Hamiltonian matrices

Unknown

173
Citations
Controllability and Observability Criteria for Multivariable Linear Second-Order Models

Unknown

157
Citations
A generalization of the matrix sign function solution for algebraic Riccati equations

Judith Gardiner;Alan Laub

148
Citations
On scaling Newton's method for polar decomposition and the matrix sign function

Charles Kenney;Alan J. Laub

134
Citations
Computing the singular value decompostion of a product of two matrices

M T Heath;A J Laub;C C Paige;R C Ward

126
Citations
Efficient matrix-valued algorithms for solving stiff Riccati differential equations

C.H. Choi;A.J. Laub

103
Citations
Controllability and stability radii for companion form systems

Charles S. Kenney;Alan J. Laub

98
Citations
Correction to "Feedback properties of multivariable systems: The role and use of the return difference matrix"

M. Safonov;A. Laub;G. Hartman

93
Citations
Polar decomposition and matrix sign function condition estimates

Charles Kenney;Alan J. Laub

88
Citations
Padé error estimates for the logarithm of a matrix

Charles Kenney;Alan J. Laub

68
Citations

Frequent Co-Authors

Çetin Kaya Koç University of California, Santa Barbara

Volker Mehrmann Technical University of Berlin

Marshall N. Rosenbluth University of California, San Diego

Christopher C. Paige McGill University

Michael T. Heath University of Illinois at Urbana-Champaign

Sumit Roy University of Washington

Nicholas J. Higham University of Manchester

Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems

Sergio Bittanti Polytechnic University of Milan

Jan C. Willems KU Leuven

External Links

Personal website of Alan J. Laub

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