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- W1999355022 abstract "Assume that X, partitioned into 2 2 block form, is a solution of the system of quaternion matrix equations A1XB1 = C1;A2XB2 = C2: We in this paper give the maximal and minimal ranks of the sub- matrices in X; and establish necessary and sufficient conditions for the submatrices to be zero, unique as well as independent. As applications, we consider the common inner inverse G; partitioned into 2 2 block form, of two quaternion matrices M and N: We present the formulas of the maximal and minimal ranks of the submatrices of G; and describe the properties of the submatrices of G as well. Thendings of this paper generalize some known results in the literature." @default.
- W1999355022 created "2016-06-24" @default.
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- W1999355022 date "2011-09-30" @default.
- W1999355022 modified "2023-09-24" @default.
- W1999355022 title "RANKS OF SUBMATRICES IN A GENERAL SOLUTION TO A QUATERNION SYSTEM WITH APPLICATIONS" @default.
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- W1999355022 doi "https://doi.org/10.4134/bkms.2011.48.5.969" @default.
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