Abstract
The problem of choosing the missing entry in the partial matrix \(\begin{bmatrix}\text{A} & \text{C} \\\text{B} & ? \end{bmatrix}\) so as to minimize the rank, which had earlier been solved only under a somewhat restrictive hypothesis, is here given a general solution, with description of the full solution set.
Keywords
- Linear Transformation
- Relative Inverse
- Generalize Inverse
- Indian Statistical Institute
- Nonnegative Matrice
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
The author thanks NSERC of Canada for financial support, and the Indian Statistical Institute Delhi Centre, where this work was begun.
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© 1988 Birkhäuser Verlag Basel
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Davis, C. (1988). Completing a Matrix so as to Minimize the Rank. In: Gohberg, I. (eds) Topics in Operator Theory and Interpolation. Operator Theory: Advances and Applications, vol 29. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9162-2_3
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DOI: https://doi.org/10.1007/978-3-0348-9162-2_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-1960-1
Online ISBN: 978-3-0348-9162-2
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