Lagrange's polynomial

GPTKB entity

Statements (30)
Predicate Object
gptkbp:instanceOf gptkb:observatory
gptkbp:appliesTo n distinct points
gptkbp:educational_programs n-1
gptkbp:hasPrograms L(x) = Σ (y_i * L_i(x))
https://www.w3.org/2000/01/rdf-schema#label Lagrange's polynomial
gptkbp:is_a finite difference method
multivariate polynomial interpolation
gptkbp:is_a_subject_of numerical methods
gptkbp:is_a_symbol_of degree_n-1_for_n_data_points
gptkbp:is_a_time_for constructing a polynomial
gptkbp:is_evaluated_by inefficient for large n
a linear combination of basis polynomials
Horner's_method
gptkbp:is_involved_in interpolating polynomials
gptkbp:is_recognized_for real or complex numbers
gptkbp:is_used_in computer graphics
machine learning
computer-aided design (CAD)
signal processing
numerical analysis
interpolating a function
robotics for path planning
gptkbp:isUsedFor the concept of polynomial basis functions
gptkbp:operator product of (x - x_j)/(x_i - x_j) for j ≠ i
gptkbp:previousName gptkb:Joseph-Louis_Lagrange
gptkbp:provides exact interpolation at given points
gptkbp:related_to Newton's_divided_difference_polynomial
the_Weierstrass_approximation_theorem
gptkbp:sensors round-off errors
gptkbp:suitableFor data fitting