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Volume 23 (1987)
- Issue 6 Pages 909-
- Issue 5 Pages 737-
- Issue 4 Pages 575-
- Issue 3 Pages 445-
- Issue 2 Pages 215-
- Issue 1 Pages 1-
Volume 23, Issue 4
Displaying 1-8 of 8 articles from this issue
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Michiro Kondo1987 Volume 23 Issue 4 Pages 575-582
Published: 1987
Released on J-STAGE: January 22, 2009
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Masaharu Nakashima1987 Volume 23 Issue 4 Pages 583-611
Published: 1987
Released on J-STAGE: April 24, 2009
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Takeo Ohsawa1987 Volume 23 Issue 4 Pages 613-625
Published: 1987
Released on J-STAGE: April 24, 2009
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Hubert Flenner, Siegmund Kosarew1987 Volume 23 Issue 4 Pages 627-665
Published: 1987
Released on J-STAGE: April 24, 2009
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Bong-kyu Park, Sin Hitotumatu1987 Volume 23 Issue 4 Pages 667-672
Published: 1987
Released on J-STAGE: April 24, 2009
JOURNAL FREE ACCESSWhen we compute a root of equation F(X)=0, Mailer's Method uses three initial approximations X0, X1, and X2 and determines the next approximation X3 by the intersection of the X-axis with the parabola through (X0, F(X0)), (X1, F(X1)), and (X2, F(X2)). The procedure is repeated successively to improve the approximate solution of an equation F(X)=0.
Suppose a continuous function F, defined on the interval [X0, X1] is given, with F(X0) and F(X1) being opposite signs. In our New-Mailer's Method we choose X0 and X1 as the ends of the interval and take another initial approximation X2 as the mid-point of X0, X1 and new approximation X3 is the intersection of the X-axis with a quadratic curve through (X0, F(X0)), (X2, F(X2)), and (X1, F(X1)). This method is proposed to improve the rate of convergence and calculate faster for reducing the interval. Let us call this method New-Muller's Method in this paper.View full abstractDownload PDF (480K) -
Atsushi Inoue1987 Volume 23 Issue 4 Pages 673-726
Published: 1987
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSAn unbounded generalization of the fundamental concepts of the Tomita-Takesaki theory such as modular automorphism groups and Random-Nikodym derivatives is considered.View full abstractDownload PDF (4784K) -
Yoshiaki Okazaki, Yasuji Takahashi1987 Volume 23 Issue 4 Pages 727-730
Published: 1987
Released on J-STAGE: January 22, 2009
JOURNAL FREE ACCESSLet G be a subgroup of a vector space X and μ, ν be two probability measures on X. If μ and ν are G-quasi-invariant and G-ergodic, then the convolution μ*ν is also G-ergodic.View full abstractDownload PDF (387K) -
Ken-ichi Maruyama1987 Volume 23 Issue 4 Pages 731-736
Published: 1987
Released on J-STAGE: January 22, 2009
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