6 citations · 37 across the 17 of their papers we have counts for
4 papers · 1 filter
Fast Approximation of Polynomial Zeros and Matrix Eigenvalues
Victor Y. Pan, Soo Go, Qi Luan +1
We approximate the d complex zeros of a univariate polynomial p(x) of a degree d or those zeros that lie in a fixed region of interest on the complex plane such as a disc or a squa…
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…
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…