Fraction-free matrix factors: new forms for LU and QR factors (2008)

by Wenqin Zhou , David J. Jeffrey
Citations:3 - 1 self

Active Bibliography

LU Factoring of Non-Invertible Matrices – D. J. Jeffrey
10 Computing the sign or the value of the determinant of an integer matrix, a complexity survey – Erich Kaltofen , Gilles Villard - 2004
35 On The Complexity Of Computing Determinants – Erich Kaltofen, Gilles Villard - 2001
9 Faster Algorithms for Integer Lattice Basis Reduction – Arne Storjohann - 1996
Fast Algorithms, Modular Methods, Parallel Approaches and Software Engineering for Solving Polynomial Systems Symbolically – Yuzhen Xie - 2007
1 Algebraic algorithms – Angel Diaz, Ioannis Z. Emiris, Erich Kaltofen, Victor Y. Pan
3 Hierarchical Representations with Signatures for Large Expression Management – Wenqin Zhou, J. Carette, D. J. Jeffrey, M. B. Monagan - 2006
Solving Sparse Rational . . . – Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard - 2006
5 Solving sparse integer linear systems – Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard - 2006
10 Essentially Optimal Computation of the Inverse of Generic Polynomial Matrices – Claude-pierre Jeannerod, Gilles Villard
1 Kaltofen’s division-free determinant algorithm differentiated – Gilles Villard
Towards an exact adaptive algorithm for the determinant of – Anna Urbańska, Université Joseph Fourier, Grenoble I - 706
4 An algorithm to solve integer linear systems exactly using numerical methods – Zhendong Wan
1 Exactly solve integer linear systems using numerical methods – Zhendong Wan - 2005
18 Computing Parametric Geometric Resolutions – Eric Schost - 2001
SPARSE POLYNOMIAL INTERPOLATION AND THE FAST EUCLIDEAN ALGORITHM – Soo H. Go, C Soo H. Go - 2012
Algorithms for Solving Linear Systems over – Cyclotomic Fields, Liang Chen, Michael Monagan
8 Preconditioning of Rectangular Polynomial Matrices for Efficient Hermite Normal Form Computation – Arne Storjohann, George Labahn - 1995
10 Computation of Hermite and Smith normal forms of matrices – Arne Storjohann - 1994