In mathematics, a matrix polynomial is a polynomial with matrices as variables. Given an ordinary, scalar-valued polynomial this polynomial evaluatedâ€¦Â (More)

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2017

2017

- Mark Giesbrecht, Joseph Haraldson, George Labahn
- ISSAC
- 2017

Matrix polynomials appear in many areas of computational algebra, control systems theory, diÂ‚erential equations, and mechanicsâ€¦Â (More)

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2015

2015

- Fernando de TerÃ¡n, FroilÃ¡n M. Dopico, Paul Van Dooren
- SIAM J. Matrix Analysis Applications
- 2015

We present necessary and sufficient conditions for the existence of a matrix polynomial when its degree, its finite and infiniteâ€¦Â (More)

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2011

2011

- Jorge Sastre, Jacinto Javier IbÃ¡Ã±ez, Emilio Defez, Pedro A. Ruiz
- Applied Mathematics and Computation
- 2011

The matrix exponential plays a fundamental role in the solution of differential systems which appear in different science fieldsâ€¦Â (More)

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2006

2006

An efficient algorithm for evaluating the matrix polynomial I + A + A + â€¢â€¢â€¢ +A~ is developed. The proposed scheme is simple andâ€¦Â (More)

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2003

2003

- Ann Sinap, Walter Van Assche
- 2003

Orthogonal matrix polynomials, on the real line or on the unit circle, have properties which are natural generalizations ofâ€¦Â (More)

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2001

2001

- Randall J. Allemang, David L Hrown, William Fladung
- 2001

As many different modal parameter estimation algorithms have evolved over the past twenty years, the ability to view allâ€¦Â (More)

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2001

2001

- James Louisell
- IEEE Trans. Automat. Contr.
- 2001

The author considers autonomous neutral or retarded matrix delay differential systems. The imaginary axis eigenvalues of such aâ€¦Â (More)

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1998

1998

- Didier Henrion, Michael Sebek
- Automatica
- 1998

An interpolation approach is pursued to solve a bilateral matrix polynomial equation frequently arising in control and signalâ€¦Â (More)

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1998

1998

- R. J. A
- 1998

One important current focus of modal identification is a reformulation of modal parameter estimation algorithms into a singleâ€¦Â (More)

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1986

1986

- Jan JeÅ¾ek
- Kybernetika
- 1986

For problems of linear control system synthesis, an apparatus of polynomial equations (for single-variable case) and of matrixâ€¦Â (More)

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