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M-tensors and nonsingular M-tensors
Abstract The M -matrix is an important concept in matrix theory, and has many applications. Recently, this concept has been extended to higher order tensors [18] . In this paper, we establish someExpand
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HKZ and Minkowski Reduction Algorithms for Lattice-Reduction-Aided MIMO Detection
  • W. Zhang, S. Qiao, Y. Wei
  • Mathematics, Computer Science
  • IEEE Transactions on Signal Processing
  • 1 November 2012
We present three new lattice reduction algorithms: one for the HKZ-reduction, and two for the Minkowskireduction. Expand
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Moore–Penrose inverse of tensors via Einstein product
In this paper, we define the Moore–Penrose inverse of tensors with the Einstein product, and the explicit formulas of the Moore–Penrose inverse of some block tensors are obtained. The generalExpand
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A characterization and representation of the generalized inverse A(2)T,S and its applications
  • Y. Wei
  • Mathematics
  • 4 September 1998
Abstract This paper presents an explicit expression for the generalized inverse A (2) T , S . Based on this, we established the characterization, the representation theorem and the limiting processExpand
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Representations for the Drazin Inverse of a 2 x 2 Block Matrix
Two representations for the Drazin inverse of a $2\times2$ block matrix $M=[{A \atop C}\;{B\atop D}]$, where $A$ and $D$ are square matrices, are extended to the case where the generalized Schur complement $D-CA^{D}B$ is either nonsingular or zero. Expand
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Additive results for the generalized Drazin inverse
Additive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, if A denotes the generalized Drazin inverse of a bounded linear operator A on anExpand
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System parameters and product properties response of soybean protein extruded at wide moisture range
Abstract In order to explore the effect of water during extrusion process, soybean protein isolate (SPI) was extruded using a pilot-scale twin-screw extruder at 28%, 36%, 44%, 52% and 60% moistureExpand
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A note on additive results for the Drazin inverse
For two square matrices that commute, we present some additive results for the Drazin inverse. We also give the application to relative perturbation of eigenvalues when the perturbed matrix commutesExpand
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Multi-element analysis for determining the geographical origin of mutton from different regions of China
Elemental fingerprints were investigated for their potential to classify mutton samples according to their geographical origin. The concentration of 25 element contents in 99 mutton samples fromExpand
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Inverse Order Rule for Weighted Generalized Inverse
The weighted generalized inverses have several important applications in researching the singular matrices, regularization methods for ill-posed problems, optimization problems, and statisticsExpand
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