28 citations · 44 across the 6 of their papers we have counts for
6 papers
A new Lanczos type algorithm for system of linear equations
Muhammad Farooq, Abdellah Salhi
Lanczos-type algorithms are efficient and easy to implement. Unfortunately they breakdown frequently and well before convergence has been achieved. These algorithms are typically b…
A Seed-based Plant Propagation Algorithm: The Feeding Station Model
Muhammad Sulaiman, Abdellah Salhi
The seasonal production of fruit and seeds resembles opening a feeding station, such as a restaurant agents/ customers will arrive at a certain rate and pick fruit (get served) at…
The Plant Propagation Algorithm: Modifications and Implementation
Muhammad Sulaiman, Abdellah Salhi, Eric S. Fraga
The Plant Propagation Algorithm, epitomised by the Strawberry Algorithm, has been previously successfully tested on low dimensional continuous optimisation problems. It is a neighb…
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…
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…
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…