Numerical Linear Algebra
where the algebra stops being the arithmetic
Ladder

Polynomial eigenvalue — the ladder

One essay so far against this idea. A ladder is the distinct arguments that stand against one idea, and this one has room to grow.
  1. 00.0939569-2-1.24498-0.4899610.2650581.020081.7751real partimaginary parttwo routes, one spectrumeigenvalues16rows8complex16against the closed form2.1·10⁻¹⁵n rows and 2n eigenvaluesso the eigenvectors are not a basis

    A matrix that depends on its own eigenvalue

    A damped structure does not produce Ax = λx. It produces (λ²M + λC + K)x = 0, where the matrix whose null vector is wanted is a function of the number being solved for — so there is nothing to factorise, an n × n problem has 2n answers, and the eigenvectors cannot be a basis.

    rung 1 · polynomial

All ladders