"eigenpolynomial" meaning in All languages combined

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  "etymology_text": "From eigen- + polynomial.",
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    {
      "form": "eigenpolynomials",
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        "plural"
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        {
          "ref": "2013, Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Computer Algebra in Scientific Computing, page 317:",
          "text": "An important expression in the linear control theory is the eigenpolynomial of A.",
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        }
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        "Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI."
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      "raw_glosses": [
        "(mathematics) Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigenpolynomial"
}

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  ],
  "etymology_text": "From eigen- + polynomial.",
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          "text": "An important expression in the linear control theory is the eigenpolynomial of A.",
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        }
      ],
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        "Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI."
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        "(mathematics) Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI."
      ],
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  "word": "eigenpolynomial"
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