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In mathematics, a Metzler matrix is a matrix in which all the off-diagonal components are nonnegative (equal to or greater than zero): It is named after the American economist Lloyd Metzler. Metzler matrices appear in stability analysis of time delayed differential equations and positive linear dynamical systems. Their properties can be derived by applying the properties of nonnegative matrices to matrices of the form M + aI, where M is a Metzler matrix.

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  • Eine Metzler-Matrix ist eine Matrix, deren Elemente außerhalb der Hauptdiagonalen allesamt nichtnegative Werte besitzen. Namensgeber dieser Matrizen ist der amerikanische Ökonom . Andere Bezeichnungen sind quasipositive Matrix oder wesentlich-nichtnegative Matrix. Metzler-Matrizen treten unter anderem in der Stabilitätsanalyse retardierter Differentialgleichungen und in positiv linearen dynamischen Systemen auf. (de)
  • In mathematics, a Metzler matrix is a matrix in which all the off-diagonal components are nonnegative (equal to or greater than zero): It is named after the American economist Lloyd Metzler. Metzler matrices appear in stability analysis of time delayed differential equations and positive linear dynamical systems. Their properties can be derived by applying the properties of nonnegative matrices to matrices of the form M + aI, where M is a Metzler matrix. (en)
  • 数学の分野におけるメッツラー行列(めっつらーぎょうれつ、英語: Metzler matrix)とは、全ての非対角成分が非負(0 以上)であるような行列のことである。すなわち が成立するような行列 M のことをメッツラー行列という。その名はアメリカの経済学者のロイド・メッツラーにちなむ。 (ja)
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  • Eine Metzler-Matrix ist eine Matrix, deren Elemente außerhalb der Hauptdiagonalen allesamt nichtnegative Werte besitzen. Namensgeber dieser Matrizen ist der amerikanische Ökonom . Andere Bezeichnungen sind quasipositive Matrix oder wesentlich-nichtnegative Matrix. Metzler-Matrizen treten unter anderem in der Stabilitätsanalyse retardierter Differentialgleichungen und in positiv linearen dynamischen Systemen auf. (de)
  • In mathematics, a Metzler matrix is a matrix in which all the off-diagonal components are nonnegative (equal to or greater than zero): It is named after the American economist Lloyd Metzler. Metzler matrices appear in stability analysis of time delayed differential equations and positive linear dynamical systems. Their properties can be derived by applying the properties of nonnegative matrices to matrices of the form M + aI, where M is a Metzler matrix. (en)
  • 数学の分野におけるメッツラー行列(めっつらーぎょうれつ、英語: Metzler matrix)とは、全ての非対角成分が非負(0 以上)であるような行列のことである。すなわち が成立するような行列 M のことをメッツラー行列という。その名はアメリカの経済学者のロイド・メッツラーにちなむ。 (ja)
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  • Metzler-Matrix (de)
  • Metzler matrix (en)
  • メッツラー行列 (ja)
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