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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2013.1
- 수록면
- 479 - 495 (17page)
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Taking the weighted geometric mean [11] on the cone of positive definite matrix, we propose an iterative mean algorithm involving weighted arithmetic and geometric means of n−positive definite matrices which is a weighted version of Carlson mean presented by Lee and Lim [13]. We show that each sequence of the weigthed Carlson iterative mean algorithm has a common limit and the common limit of satisfies weighted multidimensional versions of all properties like permutation symmetry, concavity, monotonicity, homogeneity, congruence invariancy, duality, mean inequalities
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참고문헌 (14)
참고문헌 신청
B. C. Carlson / 1971 / Algorithms involving arithmetic and geometric means / Amer. Math. Monthly 78 : 496 ~ 505
C. W. Borchardt / 1881 / Sur deux algorithmes analogues ´a celui de la moyenne arith´eticog ´eom´etrique de deux ´el´ements, In memoriiam Dominici Chelini, Collectanea Mathematica
D. Bini / 2010 / An effective matrix geometric mean satisfying the Ando-Li-Mathias properties / Math. Comp. 79 : 437 ~ 452
G. Corach / 1994 / Convexity of the geodesic distance on spaces of positive operators / Illinois J. Math 38 : 87 ~ 94
H. Lee / / Carlson’s iterative algorithm of positive definite matrices / Linear Algebra Appl.
C. W. Borchardt / 1881 / Sur deux algorithmes analogues ´a celui de la moyenne arith´eticog ´eom´etrique de deux ´el´ements, In memoriiam Dominici Chelini, Collectanea Mathematica
D. Bini / 2010 / An effective matrix geometric mean satisfying the Ando-Li-Mathias properties / Math. Comp. 79 : 437 ~ 452
G. Corach / 1994 / Convexity of the geodesic distance on spaces of positive operators / Illinois J. Math 38 : 87 ~ 94
H. Lee / / Carlson’s iterative algorithm of positive definite matrices / Linear Algebra Appl.
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