نتایج جستجو برای: matrix majorization

تعداد نتایج: 365508  

Journal: :bulletin of the iranian mathematical society 0
f. khalooei department of pure mathematics, faculty of mathematics and computer, shahid bahonar university of kerman, kerman, iran.

for $a,bin m_{nm},$ we say that $a$ is left matrix majorized (resp. left matrix submajorized) by $b$ and write $aprec_{ell}b$ (resp. $aprec_{ell s}b$), if $a=rb$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $r.$ moreover, we define the relation $sim_{ell s} $ on $m_{nm}$ as follows: $asim_{ell s} b$ if $aprec_{ell s} bprec_{ell s} a.$ this paper characterizes all linear p...

Journal: :wavelet and linear algebra 2014
f. khalooei

for vectors x, y ∈ rn, it is said that x is left matrix majorizedby y if for some row stochastic matrix r; x = ry. the relationx ∼` y, is defined as follows: x ∼` y if and only if x is leftmatrix majorized by y and y is left matrix majorized by x. alinear operator t : rp → rn is said to be a linear preserver ofa given relation ≺ if x ≺ y on rp implies that t x ≺ ty onrn. the linear preservers o...

Journal: :Linear Algebra and its Applications 2001

Journal: :Linear Algebra and its Applications 1999

2005
Francisco D. Martínez Pedro G. Massey Luis E. Silvestre

Given X, Y ∈ Rn×m we introduce the following notion of matrix majorization, called weak matrix majorization, X w Y if there exists a row-stochastic matrix A ∈ Rn×n such that AX = Y, and consider the relations between this concept, strong majorization ( s ) and directional majorization ( ). It is verified that s⇒ ⇒ w , but none of the reciprocal implications is true. Nevertheless, we study the i...

Journal: :bulletin of the iranian mathematical society 2011
a. armandnejad h. heydari

Journal: :bulletin of the iranian mathematical society 2011
m. radjabalipour p. torabian

Journal: :Linear Algebra and its Applications 2005

1998
Geir Dahl

We study the conceptmatrix majorization: for two real matrices A and B having m rows we say that A majorizes B if there is a row-stochastic matrix X with AX = B. A special case is classical notion of vector majorization. Several properties and characterizations of matrix majorization are given. Moreover, interpretations of the concept in mathematical statistics are discussed and some combinator...

Journal: :bulletin of the iranian mathematical society 2011
a. armandnejad

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