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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 595 - 603 (9page)
이용수
초록· 키워드
오류제보하기
We show that for an algebraic Riccati equation [수식], its solutions are given by X = W + BT for some solution [수식], To generalize this, we give an equivalent condition for [수식] for given positive operators B and A, by which it can be regarded as Riccati inequality [수식].
As an application, the harmonic mean B ! C is explicitly written even if B and C are
noninvertible.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
E. P. Wigner / 1965 / On weakly positive operators / Canadian J. Math 15 : 313 ~ 317
F. Kubo / 1980 / Means of positive linear operators / Math. Ann 246 : 205 ~ 224
G. E. Trapp / 1984 / Hermitian semide nite matrix means and related matrix inequalities - An introduction / Linear Multilinear Alg 16 : 113 ~ 123
G. K. Pedersen / 1972 / The operator equation THT = K / Proc. Amer. Math. Soc 36 : 311 ~ 312
J. I. Fujii / 1979 / Some remarks on operator means / Math. Japon 24 : 335 ~ 339
F. Kubo / 1980 / Means of positive linear operators / Math. Ann 246 : 205 ~ 224
G. E. Trapp / 1984 / Hermitian semide nite matrix means and related matrix inequalities - An introduction / Linear Multilinear Alg 16 : 113 ~ 123
G. K. Pedersen / 1972 / The operator equation THT = K / Proc. Amer. Math. Soc 36 : 311 ~ 312
J. I. Fujii / 1979 / Some remarks on operator means / Math. Japon 24 : 335 ~ 339
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