نتایج جستجو برای: right matrix majorization

تعداد نتایج: 638129  

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

Journal: :Linear Algebra and its Applications 2007

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

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