characteristic polynomial

名词 n.
中文释义

英文释义

名词 n.
  1. The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
    — The characteristic polynomial of #92;textstyle#92;left(#92;begin#123;array#125;#123;cc#125;1amp;4#92;#92;3amp;-5#92;end#123;array#125;#92;right) is #92;textstyle#92;left#92;vert#92;begin#123;array#125;#123;cc#125;1-xamp;4#92;#92;3amp;-5-x#92;end#123;array#125;#92;right#92;vert#61;x²#43;4x-17.
  2. A polynomial P(r) corresponding to a homogeneous, linear, ordinary differential equation P(D) y = 0 where D is a differential operator (with respect to a variable t, if y is a function of t).

词形变化

characteristic polynomials plural

词汇关系

相关词
characteristic equation characteristic root characteristic vector eigenvalue eigenvector minimal polynomial
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