Abstract
Nonnegative matrices A whose Moore-Penrose generalized inverse A+ is nonnegative and has any one of the three equivalent properties (i) AA+ = A+ A (ii) A+ = A, the group inverse, (iii) A+ = p(A), some polynomial in A with scalar coefficients, are characterized. This characterization generalizes known results on nonnegative matrices Awhose Moore-Penrose generalized inverse is equal to some power of A.
∗Research of S. K. Jain supported by OUR Grant No. 551.
†Department of Mathematics, Ohio University, Athens, Ohio, 45701.
‡Departments of Mathematics and Computer Science, Wright State University, Dayton, Ohio 45435.
§Department of Mathematics and Computer Science,Central State University, Wilber-force, Ohio 45384.
∗Research of S. K. Jain supported by OUR Grant No. 551.
†Department of Mathematics, Ohio University, Athens, Ohio, 45701.
‡Departments of Mathematics and Computer Science, Wright State University, Dayton, Ohio 45435.
§Department of Mathematics and Computer Science,Central State University, Wilber-force, Ohio 45384.
Notes
∗Research of S. K. Jain supported by OUR Grant No. 551.
†Department of Mathematics, Ohio University, Athens, Ohio, 45701.
‡Departments of Mathematics and Computer Science, Wright State University, Dayton, Ohio 45435.
§Department of Mathematics and Computer Science,Central State University, Wilber-force, Ohio 45384.