Some new formulas for .
Almkvist, Gert, Krattenthaler, Christian, Petersson, Joakim (2003)
Experimental Mathematics
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Displaying similar documents to “Computing the determinants by reducing the orders by four.”
Some new formulas for .
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.
An inequality for determinants with real entries
A. Schinzel (1978)
Colloquium Mathematicae
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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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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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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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Properties of the determinant of a rectangular matrix
Anna Makarewicz, Piotr Pikuta, Dominik Szałkowski (2014)
Annales UMCS, 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
Counting determinants of Fibonacci-Hessenberg matrices using LU factorizations.
Li, Hsuan-Chu, Chen, Young-Ming, Tan, Eng-Tjioe (2009)
Integers
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Some Marginal Densities of the Wishart Distribution Някои маргинални плътности на разпределението на Уишарт
Veleva, Evelina (2012)
Union of Bulgarian Mathematicians
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Евелина Илиева Велева - Разпределението на Уишарт се среща в практиката като разпределението на извадъчната ковариационна матрица за наблюдения над многомерно нормално разпределение. Изведени са някои маргинални плътности, получени чрез интегриране на плътността на Уишарт разпределението. Доказани са необходими и достатъчни условия за положителна определеност на една матрица, които дават нужните граници за интегрирането. Wishart distribution arises as the distribution of...
Laplace Expansion
Karol Pak, Andrzej Trybulec (2007)
Formalized Mathematics
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In the article the formula for Laplace expansion is proved.
On a nonnegative irreducible matrix that is similar to a positive matrix
Raphael Loewy (2012)
Open Mathematics
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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
Generating functions for the number of permutations with limited displacement.
Kløve, Torleiv (2009)
The Electronic Journal of Combinatorics [electronic only]
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