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A Matrix and its Inverse: Revisiting Minimal Rank Completions
Book chapter

A Matrix and its Inverse: Revisiting Minimal Rank Completions

pp.329-338
Operator Theory Advances and Applications, Walter De Gruyter
01 Jan 2008

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We revisit a formula that connects the minimal ranks of triangular parts of a matrix and its inverse and relate the result to structured rank matrices. We also address a generic minimal rank problem that was proposed by David Ingerman and Gilbert Strang.

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Mathematics, Applied