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A simple proof is given for a theorem by Milliken and Akdeniz (1977) about the difference of the Moore-Penrose inverses of two positive semi-definite matrices.
Neudecker, Heinz. "A new proof of the Millinen-Akdeniz theorem.." Qüestiió 13.1-2-3 (1989): 81-82. <http://eudml.org/doc/40153>.
@article{Neudecker1989, abstract = {A simple proof is given for a theorem by Milliken and Akdeniz (1977) about the difference of the Moore-Penrose inverses of two positive semi-definite matrices.}, author = {Neudecker, Heinz}, journal = {Qüestiió}, keywords = {Matrices; Moore-Penrose inverse; positive semi-definite matrix (difference)}, language = {eng}, number = {1-2-3}, pages = {81-82}, title = {A new proof of the Millinen-Akdeniz theorem.}, url = {http://eudml.org/doc/40153}, volume = {13}, year = {1989}, }
TY - JOUR AU - Neudecker, Heinz TI - A new proof of the Millinen-Akdeniz theorem. JO - Qüestiió PY - 1989 VL - 13 IS - 1-2-3 SP - 81 EP - 82 AB - A simple proof is given for a theorem by Milliken and Akdeniz (1977) about the difference of the Moore-Penrose inverses of two positive semi-definite matrices. LA - eng KW - Matrices; Moore-Penrose inverse; positive semi-definite matrix (difference) UR - http://eudml.org/doc/40153 ER -