Publications of Greg Ammar
The links are to preprints of the manuscripts,
in pdf format as default (for Acrobat Reader), and
in postscript and/or html formats if indicated.

An Efficient QR Algorithm for a Hessenberg Submatrix of a
Unitary Matrix (with W.B. Gragg and C. He), in New Directions and
Applications in Control Theory, W.P. Dayawansa, A. Lindquist and Y.
Zhou, eds., Lecture Notes in Control and Information Sciences,
Vol. 321,
SpringerVerlag, 2005, pp. 114.

Polynomial Zerofinders Based on Szegő Polynomials
(with D. Calvetti, W.B. Gragg and L. Reichel), J. Comput. Appl. Math.,
127 (2001), 116.
PDF format.

Postscript format.

Computation of GaussKronrod Quadrature Rules with NonPositive
Weights (with D. Calvetti and L. Reichel), Electronic Trans.
Numerical Anal., 9 (1999), 2638.
PDF format.

Postscript format.

SchurLike Forms for Matrix Lie Groups, Lie Algebras and Jordan
Algebras, (with C. Mehl and V. Mehrmann), Linear Algebra and Its
Applications, 287 (1999), 1139.
PDF format.

Postscript format.

Classical Foundations of Algorithms for Solving Positive Definite
Toeplitz Equations, Calcolo, 33 (1996), 99113.
An HTML version is also available.
PDF format.

Postscript format.

Continuation Methods for the Computation of Zeros of Szegő
Polynomials
(with D. Calvetti and L. Reichel), Linear Algebra and Its Applications,
249 (1996), 125155.
PDF format

Postscript format.

On an Inverse Eigenvalue Problem for Unitary Hessenberg Matrices
(with C. He), Linear Algebra and Its Applications, 218 (1995), pp. 263271.
PDF format

Postscript format.

Algorithm 730: An Implementation of a Divide and Conquer
Algorithm for the Unitary Eigenproblem (with L. Reichel and D. C.
Sorensen),
ACM Trans. Math. Softw., Vol. 20, 1994, p. 161.
(Mathematical software.)

Schur Flows for Orthogonal Hessenberg Matrices (with W.B.
Gragg), in
Hamiltonian and Gradient Flows, Algorithms and Control, A. Bloch, ed.,
Fields Institute Communications, Vol. 3,
American Mathematical Society, Providence, 1994,
pp. 2724.
PDF format

Postscript format.

Computing the Poles of Autoregressive Models from the
Reflection Coefficients (with D. Calvetti and L. Reichel),
Proceedings of the ThirtyFirst Annual Allerton Conference on
Communication, Control, and Computing, Monticello, IL, October, 1993,
pp. 255264.
PDF format

Postscript format.

A Multishift Algorithm for the Numerical Solution of
Algebraic Riccati Equations
(with P. Benner and V. Mehrmann),
Electronic Transactions on Numerical Analysis, Vol. 1 (1993), pp. 3348.
PDF format

Postscript format.

Direct and Inverse Unitary Eigenproblems in Signal Processing: An
Overview (with W.B. Gragg and L. Reichel),
in Linear Algebra for Large Scale and RealTime Applications, M.S.
Moonen, G.H. Golub and B.L.R. De Moor, eds., Kluwer Academic
Publishers, Dordrecht/Boston, 1993, pp. 341343.
PDF format

Postscript format.
An
HTML version of this paper is also
available.

An Analogue for Szegő Polynomials of the Clenshaw
Algorithm (with W.B. Gragg and L. Reichel),
J. Computational Appl. Math., 46 (1993) pp., 211216.
PDF format

Postscript format.

Inverse problems for orthogonal matrices, Toda
flows and signal processing (with L. Faybusovich and W.B. Gragg),
in Proceedings of 31st IEEE Conference on Decision and
Control, Dec. 1618, Tucson, Arizona, IEEE, 1992, pp. 14881493.

Downdating Szegő Polynomials and Data Fitting Applications
(with W.B. Gragg and L. Reichel), Linear Algebra and Its Applications,
172 (1992), pp. 315336. An
HTML version
of this paper is available.

An Implementation of a Divide and Conquer Algorithm for the
Unitary Eigenproblem (with L. Reichel and D. C. Sorensen),
ACM Trans. Math. Software, 18 (1992), pp 292307.

A Geometric Perspective on Condensed Forms for Hamiltonian
Matrices (with V. Mehrmann),
in Computation and Control II, K.L. Bowers and J. Lund,
eds., Birkhäuser, Boston, 1991, 111.

The Geometry of the Matrix Riccati Equation and Associated
Eigenvalue Methods (with C. F. Martin), in The Riccati Equation,
S. Bittanti, A. Laub, and J. Willems, eds.,
SpringerVerlag, Berlin, 1991, 113126.

Discrete Least Squares Approximation by Trigonometric Polynomials
(with W. B. Gragg and L. Reichel), Mathematics of Computation, 57, 1991,
273289.

On Hamiltonian and Symplectic Hessenberg Forms (with V. Mehrmann),
Linear Algebra and Its Applications,
149, 1991, 5572.

Exponential Interpolation: Theory and Numerical Algorithms
(with W. Dayawansa and C.F. Martin), Applied Mathematics and Computation,
41, 1991, 189232.

A Variant of the GohbergSemencul Formula Involving Circulant Matrices
(with P. Gader),
SIAM J. Matrix Anal. Appl., 12, 1991, 534540.

O(n^{2}) Reduction Algorithms for the Construction
of a Band Matrix from Spectral Data
(with W.B. Gragg),
SIAM J. Matrix Anal. Appl., 12, 1991, 426431.

A Divide and Conquer Method for the Unitary Eigenproblem and Applications
(Abstract)
(with W.B. Gragg and L. Reichel), in Numerical Linear Algebra,
Digital Signal Processing, and Parallel Algorithms, G.H. Golub and P. Van
Dooren, eds., SpringerVerlag, Berlin, 1991, 579580.

Constructing a Unitary Hessenberg Matrix from Spectral Data
(with W.B. Gragg and L. Reichel), in Numerical Linear Algebra,
Digital Signal Processing, and Parallel Algorithms, G.H. Golub and P. Van
Dooren, eds., SpringerVerlag, Berlin, 1991, 385396.
PDF format

Postscript format.

System Identification and Exponential Interpolation (with W. Dayawansa
and C. Martin), Texas Tech Mathematics Series, Vol. 16, Lubbock, TX, 1990, 128.

Identification of Linear Systems by Prony's Method (with
D. Cheng, W. Dayawansa and C. Martin),
in Robust Control of Linear Systems and Nonlinear Control:
Proceedings of the International
Symposium MTNS89, Volume II, M.A. Kaashoek, J.H. van
Schuppen and A.C.N. Ran, eds., Birkhäuser, Boston, 1990, 483488.

New Decompositions of the Inverse of a Toeplitz Matrix (with
P. Gader),
in Signal Processing, Scattering and Operator Theory, and
Numerical Methods: Proceedings of the International
Symposium MTNS89, Volume III, M.A. Kaashoek,
J.H. van Schuppen and A.C.N. Ran, eds., Birkhäuser, Boston, 1990, 421428.

Fast Approximation of Dominant Harmonics by Solving an Orthogonal
Eigenvalue Problem (with L. Reichel),
Proc. Second IMA Conference on Mathematics in
Signal Processing, J. McWhirter et al., eds., Oxford University Press,
1990.

Numerical Experience with a Superfast Real Toeplitz Solver
(with W. B. Gragg), Linear Algebra and its Applications, 121, 1989, 185206.

Superfast Solution of Real Positive Definite Toeplitz Systems
(with W. B. Gragg),
SIAM J. Matrix Anal. Appl., 9, 1988, pp. 6176.
This paper also
appears in Linear Algebra in Signals, Systems, and
Control, B.N. Datta et al., eds.,
SIAM, Philadelphia, 1988, pp. 107125.
PDF format

Postscript format.

Determination of Pisarenko Frequency Estimates as Eigenvalues of
an Orthogonal Matrix (with W. B. Gragg and L. Reichel),
in Advanced Algorithms and Architectures for Signal Processing II
(F.T. Luk, ed.), Proc. SPIE 826, 1987, pp. 143145.

Geometric Aspects of Hessenberg Matrices,
Contemporary Mathematics 68,
American Mathematical Society, Providence, RI, 1987, pp. 121.

The Generalized Schur Algorithm for the Superfast Solution
of Toeplitz Systems
(with W.B. Gragg), in Rational Approximation and its
Applications in Mathematics and Physics, J. Gilewicz, M. Pindor and
W. Siemaszko, eds., Lecture Notes in Mathematics 1237,
SpringerVerlag, Berlin, 1987, pp. 315330.
PDF format

Postscript format.

On the Eigenproblem for Orthogonal Matrices (with W. B. Gragg and
L. Reichel), Proceedings of the 25th Conference on Decision and
Control (Athens, Greece, December 1986), Institute of Electrical and
Electronics Engineers, New York, 1986, pp. 19631966.

Implementation and Use of the Generalized Schur Algorithm
(with W.B. Gragg),
in Computational and Combinatorial Methods in Systems Theory,
C.I. Byrnes and A. Lindquist, eds., NorthHolland, Amsterdam, 1986,
pp. 265280.

Inverse Eigenvalue Methods and Flag Manifolds,
in Computational and Combinatorial Methods in Systems Theory,
C.I. Byrnes and A. Lindquist, eds., NorthHolland, Amsterdam, 1986,
pp. 177184.

The Geometry of Matrix Eigenvalue Methods
(with Clyde Martin), Acta Applicandae Mathematicae,
5, 1986, pp. 239278.

Grassmannians, Riccati Equations, and Numerical Linear Algebra,
Proceedings of the 24th IEEE Conference on Decision and Control,
Institute of Electrical and Electronics Engineers, New York, 1985,
pp. 17841787.

Riccati Equations and the Matrix Eigenvalue Methods,
Proceedings of the BerkeleyAmes Conference on Nonlinear Problems
in Control and Fluid Dynamics, L.R. Hunt and C.F. Martin, eds.,
Math Sci Press, Brookline, MA, 1984, pp. 6379.

Riccati Equations and the Matrix Eigenvalue Problem
(with Clyde Martin), Proceedings of the Twentieth Annual Allerton
Conference on Communication, Computing and Control, Monticello, Illinois,
1982.
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