To Solve a Real Cubic Equation

Abstract

A program to solve a real cubic equation efficiently and as accurately as the data deserve is not yet an entirely cut-and-dried affair. An iterative method is the best found so far. This method plus some other issues, like accuracy, scaling, preconditioning and testing, are discussed in these notes in enough detail to convey an impression of what Numerical Analysis is about. Keywords: QBC computer program, Newton's iterations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 10, 1986
Accession Number
ADA206859

Entities

People

  • W. Kahan

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Applied Mathematics
  • Arithmetic
  • Calculators
  • Computations
  • Computer Programs
  • Computers
  • Equations
  • Error Analysis
  • Floating Point Operations
  • Mathematics
  • Military Research
  • Numbers
  • Numerical Analysis
  • Polynomials
  • Quadratic Equations

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design