# Linear algebra and its role in systems theory

### About this Title

**Richard A. Brualdi**, **David H. Carlson**, **Biswa Nath Datta**, **Charles R. Johnson** and **Robert J. Plemmons**, Editors

Publication: Contemporary Mathematics

Publication Year
1985: Volume 47

ISBNs: 978-0-8218-5041-1 (print); 978-0-8218-7632-9 (online)

DOI: http://dx.doi.org/10.1090/conm/047

MathSciNet review: 828287

### Table of Contents

**Front/Back Matter**

**Articles**

- Abraham Berman and Daniel Hershkowitz – Graph theoretical methods in studying stability [MR 828288]
- M. W. Berry and Robert J. Plemmons – Computing a Banded Basis of the Null Space on the Denelcor HEP Multiprocessor
- N. K. Bose – A system-theoretic approach to stability of sets of polynomials [MR 828290]
- Ralph Byers – Numerical condition of the algebraic Riccati equation [MR 828291]
- Stephen L. Campbell – Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations [MR 828292]
- J. Casti – Linear methods for nonlinear problems [MR 828293]
- G. Conte and A. M. Perdon – Zero modules and factorization problems [MR 828294]
- Biswa Nath Datta and Karabi Datta – Sequential and parallel computations and complexities for determining relative primeness, stability and inertia [MR 828295]
- Vera W. de Spinadel – On optimal control [MR 828296]
- David A. Field – The focal point method and almost linear systems of equations [MR 828297]
- Shmuel Friedland – Classification of linear systems [MR 828298]
- Paul A. Fuhrmann – On the partial realization problem and the recursive inversion of Hankel and Toeplitz matrices [MR 828299]
- Bijoy K. Ghosh – Some Recent Results in Simultaneous System Design
- R. E. Hartwig, F. J. Hall and I. J. Katz – Block striped and block nested matrices [MR 828301]
- Daniel Hershkowitz and Hans Schneider – Semistability factors and semifactors [MR 828302]
- D. Hinrichsen and D. Prätzel-Wolters – State and input transformations for reachable systemsâ€”a polynomial approach [MR 828303]
- T. Kailath and H. Lev-Ari – On mappings between covariance matrices and physical systems [MR 828304]
- J. Kautsky and N. K. Nichols – Robust multiple eigenvalue assignment by state feedback in linear systems [MR 828305]
- L. H. Keel, J. A. Fleming and S. P. Bhattacharyya – Minimum norm pole assignment via Sylvesterâ€™s equation [MR 828306]
- M. F. Silva Leite – The uniform finite generation problem of Lie groups and its application to control systems [MR 828307]
- L. Lerer and M. Tismenetsky – On the location of spectrum of matrix polynomials [MR 828308]
- Raphael Loewy – Two matrices which have equal corresponding principal minors [MR 828309]
- Michael Neumann and Ronald J. Stern – Cone Reachability for Differential Systems
- Christopher C. Paige – Covariance matrix representation in linear filtering [MR 828311]
- R. V. Patel – A condensed form for linear systems over principal ideal domains [MR 828312]
- T. E. S. Ragahavan – On Pairs of Multidimensional Matrices and Their Applications
- Mark A. Shayman – Parametrization of the flags fixed by a unipotent matrix [MR 828314]
- Eduardo D. Sontag – An introduction to the stabilization problem for parametrized families of linear systems [MR 828315]
- Robert C. Thompson – Smith invariants of a product of integral matrices [MR 828316]
- George Trapp – The Riccati equation and the geometric mean [MR 828317]
- Paul M. Van Dooren and Michel Verhaegen – On the use of unitary state-space transformations [MR 828318]
- Charles Van Loan – How near is a stable matrix to an unstable matrix? [MR 828319]
- Jan C. Willems – An approach to exact and approximate modeling of time series [MR 828320]
- Harald K. Wimmer – Straight bases of finite abelian groups and a Jordan factorization theorem for integer matrices [MR 828321]
- Bostwick F. Wyman and Michael K. Sain – Poles, zeros, and lattices [MR 828322]