Proceedings of the AMSIMSSIAM Joint Summer Research Conference held on July 29August 4, 1984, with support from the National Science Foundation.

Includes bibliographies.

Graph theoretical methods in studying stability ; Computing a Banded Basis of the Null Space on the Denelcor HEP Multiprocessor ; A systemtheoretic approach to stability of sets of polynomials ; Numerical condition of the algebraic Riccati equation ; Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations ; Linear methods for nonlinear problems ; Zero modules and factorization problems ; Sequential and parallel computations and complexities for determining relative primeness, stability and inertia ; On optimal control ; The focal point method and almost linear systems of equations ; Classification of linear systems ; On the partial realization problem and the recursive inversion of Hankel and Toeplitz matrices ; Some Recent Results in Simultaneous System Design ; Block striped and block nested matrices ; Semistability factors and semifactors ; State and input transformations for reachable systems a polynomial approach ; On mappings between covariance matrices and physical systems ; Robust multiple eigenvalue assignment by state feedback in linear systems ; Minimum norm pole assignment via Sylvester's equation ; The uniform finite generation problem of Lie groups and its application to control systems ; On the location of spectrum of matrix polynomials ; Two matrices which have equal corresponding principal minors ; Cone Reachability for Differential Systems ; Covariance matrix representation in linear filtering ; A condensed form for linear systems over principal ideal domains ; On Pairs of Multidimensional Matrices and Their Applications ; Parametrization of the flags fixed by a unipotent matrix ; An introduction to the stabilization problem for parametrized families of linear systems ; Smith invariants of a product of integral matrices ; The Riccati equation and the geometric mean ; On the use of unitary statespace transformations ; How near is a stable matrix to an unstable matrix? ; An approach to exact and approximate modeling of time series ; Straight bases of finite abelian groups and a Jordan factorization theorem for integer matrices ; Poles, zeros, and lattices Abraham Berman and Daniel Hershkowitz ; M W Berry and Robert J Plemmons ; N K Bose ; Ralph Byers ; Stephen L Campbell ; J Casti ; G Conte and A M Perdon ; Biswa Nath Datta and Karabi Datta ; Vera W de Spinadel ; David A Field ; Shmuel Friedland ; Paul A Fuhrmann ; Bijoy K Ghosh ; R E Hartwig F J Hall and I J Katz ; Daniel Hershkowitz and Hans Schneider ; D Hinrichsen and D PratzelWolters ; T Kailath and H LevAri ; J Kautsky and N K Nichols ; L H Keel J A Fleming and S P Bhattacharyya ; M F Silva Leite ; L Lerer and M Tismenetsky ; Raphael Loewy ; Michael Neumann and Ronald J Stern ; Christopher C Paige ; R V Patel ; T E S Ragahavan ; Mark A Shayman ; Eduardo D Sontag ; Robert C Thompson ; George Trapp ; Paul M Van Dooren and Michel Verhaegen ; Charles Van Loan ; Jan C Willems ; Harald K Wimmer ; Bostwick F Wyman and Michael K Sain