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ON J-UNITARY MATRIX POLYNOMIALS
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ephremidze, Lasha +2 more
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Fast methods for resumming matrix polynomials and Chebyshev matrix polynomials
Journal of Computational Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Wanzhen +5 more
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Orthogonal Matrix Laurent Polynomials
Mathematical Notes, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Afrika Matematika, 2013
The author introduces a new type of matrix polynomial, namely the Rice matrix polynomial \(H_n(A,B,z)\), where \(A,B\) are square complex matrices with \(B+kI\) invertible for all integers \(k\geq0\), by means of the hypergeometric matrix function. Its convergence properties, radius of convergence and an integral form are derived.
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The author introduces a new type of matrix polynomial, namely the Rice matrix polynomial \(H_n(A,B,z)\), where \(A,B\) are square complex matrices with \(B+kI\) invertible for all integers \(k\geq0\), by means of the hypergeometric matrix function. Its convergence properties, radius of convergence and an integral form are derived.
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2003
This chapter is devoted to proving a matrix version of Krein’s Theorem. The proof relies on methods that are different from those used in the scalar case.
Robert L. Ellis, Israel Gohberg
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This chapter is devoted to proving a matrix version of Krein’s Theorem. The proof relies on methods that are different from those used in the scalar case.
Robert L. Ellis, Israel Gohberg
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Solving Matrix Polynomial Equations
Cybernetics and Systems AnalysisMatrix equations and systems of matrix equations are widely used in problems of optimization of control systems, in mathematical economics. However, methods for solving them are developed only for the most popular matrix equations – the Riccati and Lyapunov equations, and there is no universal approach to solving problems of this class.
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