Modified SMS method for computing outer inverses of Toeplitz matrices |
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| Authors: | Marko Miladinovi? Sladjana Miljkovi? Predrag Stanimirovi? |
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| Affiliation: | University of Niš, Department of Mathematics, Faculty of Science, Višegradska 33, 18000 Niš, Serbia |
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| Abstract: | We introduce a new algorithm based on the successive matrix squaring (SMS) method. This algorithm uses the strategy of ε-displacement rank in order to find various outer inverses with prescribed ranges and null spaces of a square Toeplitz matrix. Using the idea of displacement theory which decreases the memory space requirements as well as the computational cost, our method tends to be very effective for Toeplitz matrices. |
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| Keywords: | Toeplitz matrix Displacement rank Successive matrix squaring Outer inverse Convergence rate |
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