Transformations of solvents and spectral factors of matrix polynomials, and their applications†

作者: LEANG S. SHIEH , YIH T. TSAY

DOI: 10.1080/00207178108922562

关键词: Pure mathematicsSquare matrixNonnegative matrixPascal matrixAlgebraMathematicsMatrix decompositionSymmetric matrixCharacteristic polynomialMatrix polynomialPolynomial matrix

摘要: The relationships between solvents and spectral factors of a high-degree matrix polynomial are explored. Various new transformations developed to convert right (left) into vice versa. transformation solvent left (right) is also established. newly established algorithms then applied determine the factorization for optimal control problems. algebraic theory enhances capability analysis synthesis system described by differential equation.

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