Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Arnoldi method | Statement: [ARPACK, algorithmType, Arnoldi method]

Target entity: Arnoldi method
Context triple: [ARPACK, algorithmType, Arnoldi method]

• A. Richardson iteration
  Richardson iteration is an early iterative method for solving linear systems and other operator equations, based on repeated relaxation steps to progressively improve an approximate solution.
• B. Lanczos algorithm
  The Lanczos algorithm is an iterative numerical method used to approximate eigenvalues and eigenvectors of large sparse matrices, particularly in scientific computing and numerical linear algebra.
• C. Jacobi eigenvalue algorithm
  The Jacobi eigenvalue algorithm is an iterative numerical method for computing all eigenvalues and eigenvectors of a real symmetric matrix by applying a sequence of orthogonal similarity transformations.
• D. Godunov's method
  Godunov's method is a numerical scheme for solving hyperbolic partial differential equations that uses exact or approximate Riemann solvers to compute fluxes at cell interfaces in finite-volume discretizations.
• E. Jacobi method
  The Jacobi method is an iterative numerical algorithm used to solve systems of linear equations by repeatedly updating each variable using values from the previous iteration.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Arnoldi method
Triple: [ARPACK, algorithmType, Arnoldi method]

The Arnoldi method is an iterative numerical algorithm used to approximate a few eigenvalues and eigenvectors of large, sparse matrices by constructing an orthonormal basis of a Krylov subspace.

Target entity: Arnoldi method
Target entity description: The Arnoldi method is an iterative numerical algorithm used to approximate a few eigenvalues and eigenvectors of large, sparse matrices by constructing an orthonormal basis of a Krylov subspace.

• A. Richardson iteration
  Richardson iteration is an early iterative method for solving linear systems and other operator equations, based on repeated relaxation steps to progressively improve an approximate solution.
• B. Lanczos algorithm
  The Lanczos algorithm is an iterative numerical method used to approximate eigenvalues and eigenvectors of large sparse matrices, particularly in scientific computing and numerical linear algebra.
• C. Jacobi eigenvalue algorithm
  The Jacobi eigenvalue algorithm is an iterative numerical method for computing all eigenvalues and eigenvectors of a real symmetric matrix by applying a sequence of orthogonal similarity transformations.
• D. Godunov's method
  Godunov's method is a numerical scheme for solving hyperbolic partial differential equations that uses exact or approximate Riemann solvers to compute fluxes at cell interfaces in finite-volume discretizations.
• E. Jacobi method
  The Jacobi method is an iterative numerical algorithm used to solve systems of linear equations by repeatedly updating each variable using values from the previous iteration.
• F. None of above. chosen