Elemental Banner

Bull’s Head¶

The Bull’s head matrix is a banded Toeplitz matrix with symbol

\[f(z) = 2i z^{-1} + z^2 + \frac{7}{10} z^3.\]

Please see L. Reichel and L. N. Trefethen’s Eigenvalues and pseudo-eigenvalues of Toeplitz matrices for more details.

C++ API¶

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

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

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

C API¶

ElError ElBullsHead_c(ElMatrix_c A, ElInt n)¶

ElError ElBullsHead_z(ElMatrix_z A, ElInt n)¶

ElError ElBullsHeadDist_c(ElDistMatrix_c A, ElInt n)¶

ElError ElBullsHeadDist_z(ElDistMatrix_z A, ElInt n)¶

Python API¶

BullsHead(A, n)¶