Commutators from a hyperplane of matrices
, 2014 Denote by $M_n(K)$ the algebra of $n$ by $n$ matrices with entries in the field $K$. A theorem of Albert and Muckenhoupt states that every trace zero matrix of $M_n(K)$ can be expressed as $AB-BA$ for some pair $(A,B)$ of matrices of $M_n(K)$.
Pazzis, Clément de Seguins
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The weighted Moore-Penrose inverse for sum of matrices
, 2014 In this paper we exhibit that under the rank additivity condition r(A+ B) = r(A)+ r(B) , a neat relationship between the weighted Moore-Penrose inverse of A+B and the weighted Moore-Penrose inverses of A and B . Mathematics subject classification (2010):
Zhiping Xiong, Yingying Qin
semanticscholar +1 more source
On best affine unbiased covariance-preserving prediction of factor scores [PDF]
, 2004 This paper gives a generalization of results presented by ten Berge, Krijnen, Wansbeek & Shapiro. They examined procedures and results as proposed by Anderson & Rubin, McDonald, Green and Krijnen, Wansbeek & ten Berge.
Neudecker, Heinz
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Reverse order law for weighted Moore-Penrose inverses of multiple matrix products
, 2014 In this paper by using some matrix rank theories, we derive equivalent conditions for reverse order law of weighted Moore-Penrose inverses of multiple matrix products.
Zhiping Xiong, Yingying Qin
semanticscholar +1 more source
Weak dual generalized inverse of a dual matrix and its applications. [PDF]
Heliyon, 2023 Li H, Wang H.
europepmc +1 more source
Circulating miR-146b and miR-27b are efficient biomarkers for early diagnosis of Equidae osteoarthritis. [PDF]
Sci Rep, 2023 Yassin AM +5 more
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Weighted MP weak group inverse
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaTo extent the notion of the MP weak group inverse for square matrices, we introduce the concept of the weighted MP weak group inverse for rectangular matrices.
Mosić Dijana, Marovt Janko
doaj +1 more source
Weak MPCEP and *CEPMP inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaWe generalize the systems of equations, which introduced the MPCEP and *CEPMP inverses, using a minimal rank weak Drazin inverse and a minimal rank right weak Drazin inverse.
Mosić Dijana
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Serotype-specific effectiveness against pneumococcal carriage and serotype replacement after ten-valent Pneumococcal Conjugate Vaccine (PCV10) introduction in Pakistan. [PDF]
PLoS One, 2022 Nisar MI +16 more
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P53 suppresses the progression of hepatocellular carcinoma via miR-15a by decreasing OGT expression and EZH2 stabilization. [PDF]
J Cell Mol Med, 2021 You Z +6 more
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