Computing the determinants by reducing the orders by four.
Gjonbalaj, Qefsere, Salihu, Armend (2010)
Applied Mathematics E-Notes [electronic only]
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Displaying similar documents to “Some new formulas for .”
Computing the determinants by reducing the orders by four.
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.
Expression for a general element of an matrix.
Janaki, T.M., Rangarajan, Govindan (2003)
International Journal of Mathematics and Mathematical Sciences
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Generating functions for the number of permutations with limited displacement.
Kløve, Torleiv (2009)
The Electronic Journal of Combinatorics [electronic only]
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Parametrization and reliable extraction of proper compensators
Ferdinand Kraffer, Petr Zagalak (2002)
Kybernetika
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The polynomial matrix equation is solved for those and that give proper transfer functions 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 such that wrapping the negative unity feedback round the cascade gives a system whose poles are specified by . The subclass is navigated and extracted...
The general totally positive matrix completion problem with few unspecified entries.
Fallat, Shaun M., Johnson, Charles R., Smith, Ronald L. (2000)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Algorithms. 38. CHARPOL. Computation of the characteristic polynomial of matrices
Pavla Holasová (1975)
Aplikace matematiky
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Inequalities involving immanants and diagonal products for H-matrices and positive definite matrices
Johnson, Charles R., Merris, Russell, Pierce, Stephen (1985-1986)
Portugaliae mathematica
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Determinants of matrices related to the Pascal triangle
Roland Bacher (2002)
Journal de théorie des nombres de Bordeaux
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The aim of this paper is to study determinants of matrices related to the Pascal triangle.
Sign-consistency and solvability of constrained linear systems.
Lee, Gwang-Yeon, Shader, Bryan L. (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On a Theorem by Van Vleck Regarding Sturm Sequences
Akritas, Alkiviadis, Malaschonok, Gennadi, Vigklas, Panagiotis (2013)
Serdica Journal of Computing
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In 1900 E. B. Van Vleck proposed a very efficient method to compute the Sturm sequence of a polynomial p (x) ∈ Z[x] by triangularizing one of Sylvester’s matrices of p (x) and its derivative p′(x). That method works fine only for the case of complete sequences provided no pivots take place. In 1917, A. J. Pell and R. L. Gordon pointed out this “weakness” in Van Vleck’s theorem, rectified it but did not extend his method, so that it also works in the cases of: (a) complete Sturm sequences...