Matrix equation representation of the convolution equation and its unique solvability
Special MatricesWe 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 +3 more
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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
On Real Solutions of the Equation Φ\u3csup\u3e\u3cem\u3et\u3c/em\u3e\u3c/sup\u3e (\u3cem\u3eA\u3c/em\u3e) = 1/\u3cem\u3en\u3c/em\u3e J\u3csub\u3e\u3cem\u3en\u3c/em\u3e\u3c/sub\u3e [PDF]
, 2001 For a class of n × n-matrices, we get related real solutions to the matrix equation Φt (A) = 1/n Jn by generalizing the approach of and applying the results of Zhang, Yang, and Cao [SIAM J. Matrix Anal. Appl., 21 (1999), pp. 642–645].
Chen, Yuming
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A new non-linear recurrence identity class for Horadam sequence terms. [PDF]
, 2018 We state, and prove by a succinct matrix method, a non-linear recurrence identity class for terms of the so called Horadam sequence. A particular instance was established (in equivalent form) over half a century ago by A.F.
Fennessey, Eric J., Larcombe, Peter J.
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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
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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
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Three extensions of Ćirić quasicontraction on partial metric spaces
, 2013 In this paper we define and study three extensions of the notion of Ćirić quasicontraction to the context of partial metric spaces. For such mappings, we prove fixed point theorems.
Dejan Ilic, V. Pavlovic, V. Rakočević
semanticscholar +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 dual generalized inverse of a dual matrix and its applications. [PDF]
Heliyon, 2023 Li H, Wang H.
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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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