A Case of Depth-3 Identity Testing, Sparse Factorization and Duality

Saha, Chandan ; Saptharishi, Ramprasad ; Saxena, Nitin (2013) A Case of Depth-3 Identity Testing, Sparse Factorization and Duality Computational Complexity, 22 (1). pp. 39-69. ISSN 1016-3328

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Official URL: http://doi.org/10.1007/s00037-012-0054-4

Related URL: http://dx.doi.org/10.1007/s00037-012-0054-4

Abstract

The polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural cases of identity testing—first is a case of depth-3 PIT, the other of depth-4 PIT.

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