Abstract
Generators with orders one are complex numbers. One can then apply the linear complexity inversion algorithm from Theorem 18.2 suggested under the conditions of invertibility of the principal leading submatrices of the matrix. In this chapter an algorithm to determine quasiseparable generators of the inverse without any restrictions on the principal leading submatrices is obtained.
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© 2014 Springer Basel
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Eidelman, Y., Gohberg, I., Haimovici, I. (2014). Scalar Matrices with Quasiseparable Order One. In: Separable Type Representations of Matrices and Fast Algorithms. Operator Theory: Advances and Applications, vol 234. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0606-0_19
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DOI: https://doi.org/10.1007/978-3-0348-0606-0_19
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0605-3
Online ISBN: 978-3-0348-0606-0
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