Results 61 to 70 of about 560 (104)

Matrix equation representation of the convolution equation and its unique solvability

Special Matrices
We consider the convolution equation F*X=BF* X=B, where F∈R3×3F\in {{\mathbb{R}}}^{3\times 3} and B∈Rm×nB\in {{\mathbb{R}}}^{m\times n} are given and X∈Rm×nX\in {{\mathbb{R}}}^{m\times n} is to be determined. The convolution equation can be regarded as a
Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
doaj   +1 more source

Determinant Identities and the Geometry of Lines and Circles

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The focus of this note is the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Anghel Nicolae
doaj   +1 more source

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
core   +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
core   +2 more sources

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, AbuBakr HO, Abdelgalil AI, Farid OA, El-Behairy AM, Gouda EM.   +5 more
europepmc   +1 more source

Weighted MP weak group inverse

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
To 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

Arithmetic, geometric, and harmonic means for accretive-dissipative matrices

, 2016
The concept of Loewner (partial) order for general complex matrices is introduced. After giving the definition of arithmetic, geometric, and harmonic mean for accretive-dissipative matrices, we study their basic properties.
Lin, Minghua
core  

Weak MPCEP and *CEPMP inverses

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
We 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
doaj   +1 more source

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, Jehan F, Shahid S, Ahmed S, Shakoor S, Kabir F, Hotwani A, Muneer S, Khalid F, Muhammad S, Althouse BM, Hu H, Whitney CG, Ali A, Zaidi AKM, Omer SB, Iqbal N.   +16 more
europepmc   +1 more source