Clément PernetMaître de conférence UGA
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Université Grenoble Alpes,
Université Grenoble Alpes
My research involves three complementary areas:
My work concerns the computational aspects of linear algebra problems in general, and more particularly problems related to the characteristic polynomial and matrix normal forms. My most significant result, with A. Storjohann, is the reduction of the algebraic time complexity of computation of the characteristic polynomial to the one of matrix multiplication.
I am mainly working on 3 open-source software projects: FFLAS-FFPACK, a package of routines for dense linear algebra over a word-size finite field; LinBox, a library for exact linear algebra over a finite field or integers; Sage, a general purpose mathematic software.