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<title>Matrix clock</title>
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<span id="openzim-page-title" class="mw-page-title-main"><span class="mw-page-title-main">Matrix clock</span></span>
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<div id="mw-content-text" class="mw-body-content mw-content-ltr" lang="en" dir="ltr"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><p>A <b>matrix clock</b> is a mechanism for capturing chronological and causal relationships in a <a href="Distributed_system" class="mw-redirect" title="Distributed system">distributed system</a>.
</p><p>Matrix clocks are a generalization of the notion of <a href="Vector_clock" title="Vector clock">vector clocks</a>.<sup id="cite_ref-ParallelDrummond_1-0" class="reference"><a href="#cite_note-ParallelDrummond-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> A matrix clock maintains a <a href="Vector_(data_structure)" class="mw-redirect" title="Vector (data structure)">vector</a> of the vector clocks for each communicating host.
</p><p>Every time a message is exchanged, the sending host sends not only what it knows about the global state of <a href="Time" title="Time">time</a>, but also the state of time that it received from other hosts.
</p><p>This allows establishing a lower bound on what other hosts know, and is useful in applications such as <a href="Checkpointing" class="mw-redirect" title="Checkpointing">checkpointing</a> and <a href="Garbage_collection_(computer_science)" title="Garbage collection (computer science)">garbage collection</a>.
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</style><cite id="CITEREFDrummondBarbosa2003" class="citation journal cs1">Drummond, Lúcia M. A.; Barbosa, Valmir C. (2003). "On reducing the complexity of matrix clocks". <i>Parallel Computing</i>. <b>29</b> (7): <span class="nowrap">895–</span>905. <a href="ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/cs/0309042">cs/0309042</a></span>. <a href="Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2FS0167-8191%2803%2900066-8">10.1016/S0167-8191(03)00066-8</a>. <a href="S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&nbsp;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:269009">269009</a>.</cite></span>
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<div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div>
<ul><li><a href="Lamport_timestamps" class="mw-redirect" title="Lamport timestamps">Lamport timestamps</a></li>
<li><a href="Vector_clock" title="Vector clock">Vector clock</a></li>
<li><a href="Version_vector" title="Version vector">Version vector</a></li></ul>
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