Partitioning method for rational and polynomial matrices

Stanimirović, Predrag S.; Tasić, Milan B.

doi:10.1016/s0096-3003(03)00768-9

Cited by 23 publications

(21 citation statements)

References 10 publications

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“…Wang in [26] generalizes Greville's method to the weighted Moore-Penrose inverse. The algorithm for computing the Moore-Penrose inverse of one-variable polynomial and/or rational matrices, based on the Greville's partitioning algorithm, is established in [19]. An extension of the results from [19] to the set of two-variable rational and polynomial matrices is introduced in the paper [18].…”

Section: Preliminaries and Motivationmentioning

confidence: 99%

“…The algorithm for computing the Moore-Penrose inverse of one-variable polynomial and/or rational matrices, based on the Greville's partitioning algorithm, is established in [19]. An extension of the results from [19] to the set of two-variable rational and polynomial matrices is introduced in the paper [18]. In the paper [22] we extended the Wang's partitioning method from [26] to the set of one-variable rational and polynomial matrices.…”

Section: Preliminaries and Motivationmentioning

confidence: 99%

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Computation of generalized inverses using PHP/MySQL environment

Tasić¹,

Stanimirović²,

Pepić³

2011

International Journal of Computer Mathematics

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The main aim of this paper is to develop a client/server-based model for computing the weighted Moore-Penrose inverse using the partitioning method as well as for storage of generated results. The web application is developed in the PHP/MySQL environment. The source code is open and free for testing by using a web browser. Influence of different matrix representations and storage systems on the computational time is investigated. The CPU time for searching the previously stored pseudo-inverses is compared with the CPU time spent for new computation of the same inverses.

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Section: Preliminaries and Motivationmentioning

confidence: 99%

Section: Preliminaries and Motivationmentioning

confidence: 99%

Computation of generalized inverses using PHP/MySQL environment

Tasić¹,

Stanimirović²,

Pepić³

2011

International Journal of Computer Mathematics

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“…Grevile in [11] proposed a recursive algorithm which relates the MoorePenrose pseudoinverse of a matrix R augmented by an appropriate vector r with the pseudoinverse R † of R. A generalization of this statement, which is applicable to rational matrices and its implementation in the package MATHE-MATICA is presented in [24]. In the present paper we use this implementation in the pseudoinverse computation.…”

Section: Introductionmentioning

confidence: 99%

Singular Case of Generalized Fibonacci and Lucas Matrices

Miladinović¹,

Stanimirović²

2011

Journal of the Korean Mathematical Society

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“…A generalization of the generalized inverse is the weighted Moore-Penrose inverse of an arbitrary matrix which has many applications in numerical computation, statistics, prediction theory, control systems and analysis and curve fitting, see e.g., [1,9,14]. There have been many numerical methods for the computation of the weighted MoorePenrose inverse, see e.g., [6,7,10,11]. It is an interesting problem to determine how the weighted Moore-Penrose inverse is transformed under perturbation.…”

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confidence: 99%