ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. LXXV, 1 (2006)
p. 75 - 84
Ranks and independence of solutions of the matrix equation
AXB + CYD= M
Yongge Tian
Abstract.
Suppose AXB + CYD= M is a consistent matrix equation. In this paper, we
give some formulas for the maximal and minimal ranks of two
solutions X and Y to the equation. In addition, we investigate the
independence of solutions X and Y to this equation.
Keywords:
Generalized inverse, matrix equation, rank equality, rank formulas for
partitioned matrices, general solution, independence of solutions.
AMS Subject classification: 15A03, 15A09, 15A24.
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