The Divided Difference Table From A Matrix Viewpoint

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概要

• 論文の詳細を見る

• Given a complex function w=f(z) defined in some region containing distinct points z_l, . . . , z_n, we consider the divided difference table in the form of the divided difference matrix f^+(z_1,...,z_n)whose(i,j) component equals f(z_i,. . ., z_j) for i≦j and 0 elsewhere. Two theorems are proved: the first asserts that f-f^+ is an algebraic homomorphism; the second gives a Cauchy contour-integral representation of f^+(z_1,. . ., z_n), which also equals the Cauchy formula for f(z^+), where z^+ denote the f^+-matrix corresponding to f(z)=z and where f(z) is assumed analytic in a region containing z_1, . . . , z_n.

• 一般社団法人情報処理学会の論文
• 1990-03-15

著者

• Fujishiro Issei

  Institute Of Information Sciences And Electronics University Of Tsukuba

• IKEBE YASUHIKO

  Institute of Information Sciences and Electronics, University of Tsukuba

• ASAYAMA YASUSUKE

  Central Research Laboratory Engineering Center, Sharp Co., Ltd.

• Ikebe Y

  Institute Of Information Sciences And Electronics University Of Tsukuba

• Ikebe Yasuhiko

  Institute Of Information Sciences And Electronics University Of Tsukuba

• Asayama Yasusuke

  Central Research Laboratory Engineering Center Sharp Co. Ltd.

関連論文

• The Divided Difference Table From A Matrix Viewpoint
• Perturbation Theorems for Matrix Eigenvalues

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