A property of spectral radius of the residual matrix associated with regular splitting in iterative method (A. NATURAL SCIENCE)

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  • 正則分離に随伴する反復行列スペクトル半径の性質〔英文〕
  • セイソク ブンリ ニ ズイハンスル ハンプク ギョウレツ スペクトル ハンケイ
  • 正則分離に随伴する反復行列スペクトル半径の性質(A. 理学)

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Let A be a non-singular real matrix of order n, where the inverse of A is strictly positive. And further, suppose that A permits regular splittings in the sense of Varga. For such a matrix A, it will be proved that for any given regular splitting A=A_1-A_2,A_2≠0,the spectral radius of the corresponding residual matrix H=A_1^<-1>A_2 is always a simple eigen-value, whether H is reducible or not.

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