activity
20052022
most citedAccurate and Efficient Expression Evaluation and Linear Algebra

76 citations · 104 across the 5 of their papers we have counts for

collaborators

5 papers

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.PR2013★ 18 cited

The Beta-Wishart Ensemble

Alexander Dubbs, Alan Edelman, Plamen Koev +1

This paper proves a matrix model for the Wishart Ensemble with general covariance and general dimension parameter beta. In so doing, we introduce a new and elegant definition of Ja…

math.RA2012★ 8 cited

Computing with rational symmetric functions and applications to invariant theory and PI-algebras

Francesca Benanti, Silvia Boumova, Vesselin Drensky +2

Let the formal power series f in d variables with coefficients in an arbitrary field be a symmetric function decomposed as a series of Schur functions, and let f be a rational func…

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…

math.PR2005★ 2 cited

The Efficient Evaluation of the Hypergeometric Function of a Matrix Argument

Plamen Koev, Alan Edelman

We present new algorithms that efficiently approximate the hypergeometric function of a matrix argument through its expansion as a series of Jack functions. Our algorithms exploit…