A theorem on polygons in n dimensions with applications to variation-diminishing and cyclic variation-diminishing linear transformations

I. J. Schoenberg; Anne Whitney

Displaying similar documents to “A theorem on polygons in n dimensions with applications to variation-diminishing and cyclic variation-diminishing linear transformations”

A remark on cyclic tridiagonal matrices

F. Dubeau, J. Savoie (1991)

Applicationes Mathematicae

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Factorability of general symmetric matrices

Rufus Oldenburger (1940)

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Expression for a general element of an $SO (n)$ matrix.

Janaki, T.M., Rangarajan, Govindan (2003)

International Journal of Mathematics and Mathematical Sciences

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Indecomposable (1,3)-groups and a matrix problem

David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak (2013)

Czechoslovak Mathematical Journal

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Almost completely decomposable groups with a critical typeset of type $(1, 3)$ and a $p$ -primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient $p^{k}$ , either no indecomposables if $k \leq 2$ ; only six near isomorphism types of indecomposables if $k = 3$ ; and indecomposables of arbitrary large rank if $k \geq 4$ .

A basic decomposition result related to the notion of the rank of a matrix and applications.

Mortici, Cristinel (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Possible numbers ofx’s in an {x,y}-matrix with a given rank

Chao Ma (2017)

Open Mathematics

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Let x, y be two distinct real numbers. An {x, y}-matrix is a matrix whose entries are either x or y. We determine the possible numbers of x’s in an {x, y}-matrix with a given rank. Our proof is constructive.

On the General Problem of Adjustment of Measured Values

Lubomír Kubáček (1969)

Matematický časopis

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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.