Linear algebra and its role in systems theory / [electronic resource] Richard A. Brualdi ... [et al.] editors.

Contributor(s): Brualdi, Richard A | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied MathematicsMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 47.Publication details: Providence, R.I. : American Mathematical Society, c1985Description: 1 online resource (xiii, 506 p. : ill.)ISBN: 9780821876329 (online)Subject(s): Algebras, Linear -- Congresses | System analysis -- Congresses | Control theory -- CongressesAdditional physical formats: Linear algebra and its role in systems theory /DDC classification: 512/.5 LOC classification: QA184 | .L54 1985Online resources: Contents | Contents
Contents:
Graph theoretical methods in studying stability / Abraham Berman and Daniel Hershkowitz -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828288 Computing a Banded Basis of the Null Space on the Denelcor HEP Multiprocessor / M. W. Berry and Robert J. Plemmons -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/02 A system-theoretic approach to stability of sets of polynomials / N. K. Bose -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828290 Numerical condition of the algebraic Riccati equation / Ralph Byers -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828291 Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations / Stephen L. Campbell -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828292 Linear methods for nonlinear problems / J. Casti -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828293 Zero modules and factorization problems / G. Conte and A. M. Perdon -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828294 Sequential and parallel computations and complexities for determining relative primeness, stability and inertia / Biswa Nath Datta and Karabi Datta -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828295 On optimal control / Vera W. de Spinadel -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828296 The focal point method and almost linear systems of equations / David A. Field -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828297 Classification of linear systems / Shmuel Friedland -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828298 On the partial realization problem and the recursive inversion of Hankel and Toeplitz matrices / Paul A. Fuhrmann -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828299 Some Recent Results in Simultaneous System Design / Bijoy K. Ghosh -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/13 Block striped and block nested matrices / R. E. Hartwig, F. J. Hall and I. J. Katz -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828301 Semistability factors and semifactors / Daniel Hershkowitz and Hans Schneider -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828302 State and input transformations for reachable systems -- a polynomial approach / D. Hinrichsen and D. Pr�atzel-Wolters -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828303 On mappings between covariance matrices and physical systems / T. Kailath and H. Lev-Ari -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828304 Robust multiple eigenvalue assignment by state feedback in linear systems / J. Kautsky and N. K. Nichols -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828305 Minimum norm pole assignment via Sylvester's equation / L. H. Keel, J. A. Fleming and S. P. Bhattacharyya -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828306 The uniform finite generation problem of Lie groups and its application to control systems / M. F. Silva Leite -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828307 On the location of spectrum of matrix polynomials / L. Lerer and M. Tismenetsky -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828308 Two matrices which have equal corresponding principal minors / Raphael Loewy -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828309 Cone Reachability for Differential Systems / Michael Neumann and Ronald J. Stern -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/23 Covariance matrix representation in linear filtering / Christopher C. Paige -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828311 A condensed form for linear systems over principal ideal domains / R. V. Patel -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828312 On Pairs of Multidimensional Matrices and Their Applications / T. E. S. Ragahavan -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/26 Parametrization of the flags fixed by a unipotent matrix / Mark A. Shayman -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828314 An introduction to the stabilization problem for parametrized families of linear systems / Eduardo D. Sontag -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828315 Smith invariants of a product of integral matrices / Robert C. Thompson -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828316 The Riccati equation and the geometric mean / George Trapp -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828317 On the use of unitary state-space transformations / Paul M. Van Dooren and Michel Verhaegen -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828318 How near is a stable matrix to an unstable matrix? / Charles Van Loan -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828319 An approach to exact and approximate modeling of time series / Jan C. Willems -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828320 Straight bases of finite abelian groups and a Jordan factorization theorem for integer matrices / Harald K. Wimmer -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828321 Poles, zeros, and lattices / Bostwick F. Wyman and Michael K. Sain -- http://www.ams.org/conm/047/ http://dx.doi.org/10.1090/conm/047/828322
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"Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held on July 29-August 4, 1984, with support from the National Science Foundation."

Includes bibliographies.

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

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828288

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/02

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828290

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828291

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828292

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828293

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828294

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828295

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828296

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828297

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828298

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828299

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/13

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828301

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828302

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828303

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828304

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828305

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828306

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828307

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828308

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828309

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/23

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828311

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828312

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/26

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828314

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828315

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828316

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828317

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828318

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828319

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828320

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828321

http://www.ams.org/conm/047/

http://dx.doi.org/10.1090/conm/047/828322

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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