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LegendrePolynomialRoot

MultiPrecision Legendre Polynomial Root Finding

Legendre Polynomial

Definition

define
plot

Bonnet's recursion

bonnet_recursion

Coef

coef

Roots with Gaussian quadrature Weights (N ≤ 128, x ≥ 0)

NumericTable(128bits 34digits)
NumericTable(256bits 73digits)
NumericTable(512bits 150digits)
NumericTable(1024bits 304digits)

Roots with Gaussian quadrature Weights (N ≤ 128, x 0-1 Shifted)

NumericTable(128bits 34digits)
NumericTable(256bits 73digits)
NumericTable(512bits 150digits)
NumericTable(1024bits 304digits)