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math.NA2022
Bidiagonal Decompositions of Vandermonde-Type Matrices of Arbitrary Rank
Jorge Delgado, Plamen Koev, Ana Marco +4
We present a method to derive new explicit expressions for bidiagonal decompositions of Vandermonde and related matrices such as the (q-, h-) Bernstein-Vandermonde ones, among othe…
math.NA2007★ 76 cited
Accurate and Efficient Expression Evaluation and Linear Algebra
James Demmel, Ioana Dumitriu, Olga Holtz +1
We survey and unify recent results on the existence of accurate algorithms for evaluating multivariate polynomials, and more generally for accurate numerical linear algebra with st…