Transposition of an \(\ell \times \ell\) matrix requires \(\Omega\) (log \(\ell)\) reversals on conservative Turing machines (Q1111379)
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scientific article; zbMATH DE number 4076615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transposition of an \(\ell \times \ell\) matrix requires \(\Omega\) (log \(\ell)\) reversals on conservative Turing machines |
scientific article; zbMATH DE number 4076615 |
Statements
Transposition of an \(\ell \times \ell\) matrix requires \(\Omega\) (log \(\ell)\) reversals on conservative Turing machines (English)
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1988
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We consider matrix transposition on a k-tape Turing machine which treats entries of a matrix as indivisible entities (`pebbles'). We call such a machine a conservative k-tape machine. We show that such a machine requires \(\Omega\) (log \(\ell)\) reversals to transpose an \(\ell \times \ell\) matrix.
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peppling game
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matrix transposition
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Turing machine
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conservative k-tape machine
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