6 citations · 15 across the 5 of their papers we have counts for
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math.NA2014★ 3 cited
A Switching Approach to Avoid Breakdown in Lanczos-type Algorithms
Muhammad Farooq, Abdellah Salhi
Lanczos-type algorithms are well known for their inherent instability. They typically breakdown when relevant orthogonal polynomials do not exist. Current approaches to avoiding br…
math.NA2014
An alternative derivation of a new Lanczos-type algorithm for systems of linear equations
Saif Ullah, Muhammad Farooq, Abdellah Salhi
Various recurrence relations between formal orthogonal polynomials can be used to derive Lanczos-type algorithms. In this paper, we consider recurrence relation for the ch…
math.NA2014★ 6 cited
New Recurrence Relationships between Orthogonal Polynomials which Lead to New Lanczos-type Algorithms
Muhammad Farooq, Abdellah Salhi
Lanczos methods for solving consist in constructing a sequence of vectors such that $\textbf{r}_{k}=\textbf{b}-\textit{A…