<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "https://jats.nlm.nih.gov/publishing/1.3/JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xml:lang="en">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Computing, Telecommunication and Control</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Информатика, телекоммуникации и управление</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2687-0517</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">12</article-id>
      <title-group>
        <article-title>Relaxation function of gradient methods</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Функции релаксации градиентных методов</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Igor</surname>
            <given-names>G.</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>igcher@spbstu.ru</email>
        </contrib>
      </contrib-group>
      <aff id="aff1">Peter the Great St.Petersburg Polytechnic University</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2012-06-10">
        <day>10</day>
        <month>06</month>
        <year>2012</year>
      </pub-date>
      <issue>3</issue>
      <issue-id pub-id-type="publisher-id">150</issue-id>
      <fpage>66</fpage>
      <lpage>72</lpage>
      <abstract xml:lang="en">
        <p>Set of relaxation functions (RF) for analysis of matrix gradient scheme of computer optimization is developed. Analytic dependence between RF and matrix factor of gradient scheme allows constructing of optimization method with determined relaxation properties corresponding to given RF. Generally speaking, this is a «generator» of new gradient-type methods.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>matrix gradient scheme</kwd>
        <kwd>relaxation functions</kwd>
        <kwd>relaxation ability conditions</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
