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- Hiai Fumio
- Graduate School of Information Sciences, Tohoku University
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- Sano Takashi
- Department of Mathematical Sciences, Faculty of Science, Yamagata University
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抄録
The matrix convexity and the matrix monotony of a real C1 function f on (0,∞) are characterized in terms of the conditional negative or positive definiteness of the Loewner matrices associated with f, tf(t), and t2f(t). Similar characterizations are also obtained for matrix monotone functions on a finite interval (a,b).
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 64 (2), 343-364, 2012
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680093134464
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- NII論文ID
- 10030740187
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 023596682
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可