Displaying similar documents to “Some new formulas for π .”

Properties of the determinant of a rectangular matrix

Anna Makarewicz, Piotr Pikuta, Dominik Szałkowski (2014)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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In this paper we present new identities for the Radić’s determinant of a rectangular matrix. The results include representations of the determinant of a rectangular matrix as a sum of determinants of square matrices and description how the determinant is affected by operations on columns such as interchanging columns, reversing columns or decomposing a single column.

Parametrization and reliable extraction of proper compensators

Ferdinand Kraffer, Petr Zagalak (2002)

Kybernetika

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The polynomial matrix equation X l D r + Y l N r = D k is solved for those X l and Y l that give proper transfer functions X l - 1 Y l characterizing a subclass of compensators, contained in the class whose arbitrary element can be cascaded to a plant with the given strictly proper transfer function N r D r - 1 such that wrapping the negative unity feedback round the cascade gives a system whose poles are specified by D k . The subclass is navigated and extracted...