_:n6bbc7c0efb054410aa9b61da8119427fxb5
<http://schema.org/description>
"We introduce an eigenvalue-preserving transformation algorithm from the\ngeneralized eigenvalue problem by matrix pencil of the upper and the lower\nbidiagonal matrices into a standard eigenvalue problem while preserving\nsparsity, using the theory of orthogonal polynomials. The procedure is\nformulated without subtraction, which causes numerical instability.\nFurthermore, the algorithm is discussed for the extended case where the upper\nbidiagonal matrix is of Hessenberg type."
<https://deepai.org/profile/satoshi-tsujimoto>