Eigenvalue And Eigenvector Calculator
Eigenvalue And Eigenvector: a planned Super Calculator tool. Covers square matrix. Stub page: the tool, its formula and a worked example are not published yet.
Eigenvalue And Eigenvector Calculator is a planned calculator in the mathematics section of Super Calculator, covering linear algebra.
What this calculator will compute
Inputs: square matrix, symmetric flag and method.
Outputs: eigenvalues (real and complex), eigenvectors, characteristic polynomial, algebraic and geometric multiplicities and diagonalizability verdict.
Formula, recorded as scope and not yet verified against a primary source: Solve det(A - lambda I) = 0 for the characteristic polynomial roots, then find the null space of (A - lambda I) for each eigenvector. Numerically, the QR algorithm with Hessenberg reduction is used; the Jacobi method is preferred for symmetric matrices.
Status
This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.
The stub carries noindex, nofollow and is excluded from the sitemap.