The paper develops structure-preserving QNHERLQ and QNHERQR methods for non-Hermitian quaternion systems via a new Saunders-Simon-Yip-style tridiagonalization, with convergence tied to singular values and finite termination.
Hamilton, On quaternions, In: Proceeding of the Royal Irish Academy , November 11, 1844
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Structure preserving quaternion conjugate gradient-type methods for solving non-Hermitian quaternion linear systems
The paper develops structure-preserving QNHERLQ and QNHERQR methods for non-Hermitian quaternion systems via a new Saunders-Simon-Yip-style tridiagonalization, with convergence tied to singular values and finite termination.