6 citations · 37 across the 17 of their papers we have counts for
5 papers · 1 filter
Low-rank Approximation of a Matrix: Novel Insights, New Progress, and Extensions
Victor Y. Pan, Liang Zhao
Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and st…
Accelerated Approximation of the Complex Roots and Factors of a Univariate Polynomial
Victor Y. Pan, Elias P. Tsigaridas, Vitaly Zaderman +1
The algorithms of Pan (1995) and(2002) approximate the roots of a complex univariate polynomial in nearly optimal arithmetic and Boolean time but require precision of computing tha…
Real Polynomial Root-finding by Means of Matrix and Polynomial Iterations
Victor Y. Pan, Liang Zhao
Univariate polynomial root-finding is a classical subject, still important for modern computing. Frequently one seeks just the real roots of a polynomial with real coefficients. Th…
Polynomial Root Isolation by Means of Root Radii Approximation
Victor Y. Pan, Liang Zhao
Univariate polynomial root-finding is a classical subject, still important for modern computing. Frequently one seeks just the real roots of a real coefficient polynomial. They can…
Numerically Safe Gaussian Elimination with No Pivoting
Victor Pan, Liang Zhao
Gaussian elimination with no pivoting and block Gaussian elimination are attractive alternatives to the customary but communication intensive Gaussian elimination with partial pivo…