Whale

The Whale matrix is a banded Toeplitz matrix with symbol

\[f(z) = -z^{-4} - (3+2i) z^{-3} + i z^{-2} + z^{-1} + 10 z + (3+i) z^2 + 4 z^3 + i z^4\]

Please see A. Bottcher’s Infinite matrices and projection methods for more details.

C++ API

void Whale(Matrix<Complex<Real>> &A, Int n)

void Whale(AbstractDistMatrix<Complex<Real>> &A, Int n)

void Whale(AbstractBlockDistMatrix<Complex<Real>> &A, Int n)

C API

ElError ElWhale_c(ElMatrix_c A, ElInt n)

ElError ElWhale_z(ElMatrix_z A, ElInt n)

ElError ElWhaleDist_c(ElDistMatrix_c A, ElInt n)

ElError ElWhaleDist_z(ElDistMatrix_z A, ElInt n)

Python API

Whale(A, n)