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Journal Article

Matrix Rounding With Respect to Small Submatrices

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons44338

Doerr,  Benjamin
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Citation

Doerr, B. (2006). Matrix Rounding With Respect to Small Submatrices. Random Structures & Algorithms, 28, 107-112.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-2365-1
Abstract
We show that any real valued matrix A can be rounded to an integer one B such that the error in all 2 × 2 (geometric) submatrices is less than 1.5, that is, we have |aij - bij| < 1 and for all i,j.