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Volumn 5, Issue , 2003, Pages 4511-4516

Computation of bounded degree Nevanlinna-Pick interpolants by solving nonlinear equations

Author keywords

Continuation method; Nevanlinna Pick interpolation; Positive realness; Rationality; System of nonlinear equations

Indexed keywords

CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; ESTIMATION; INTERPOLATION; NUMERICAL ANALYSIS; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; THEOREM PROVING; VECTORS;

EID: 1542290094     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (16)

References (14)
  • 2
    • 0036992719 scopus 로고    scopus 로고
    • An extension of a Nevanlinna-Pick interpolation solver to cases including derivative constraints
    • Las Vegas, Nevada, December
    • A. Blomqvist and R. Nagamune. An extension of a Nevanlinna-Pick interpolation solver to cases including derivative constraints. In Proceeding of the 41st IEEE Conference on Decision and Control, pages 2552-2557, Las Vegas, Nevada, December 2002.
    • (2002) Proceeding of the 41st IEEE Conference on Decision and Control , pp. 2552-2557
    • Blomqvist, A.1    Nagamune, R.2
  • 3
    • 0035571933 scopus 로고    scopus 로고
    • From finite covariance windows to modeling filters: A convex optimization approach
    • C. I. Byrnes, S. V. Gusev, and A. Lindquist. From finite covariance windows to modeling filters: A convex optimization approach. SIAM Review, 43(4):645-675, 2001.
    • (2001) SIAM Review , vol.43 , Issue.4 , pp. 645-675
    • Byrnes, C.I.1    Gusev, S.V.2    Lindquist, A.3
  • 4
    • 0034438253 scopus 로고    scopus 로고
    • On the duality between filtering and Nevanlinna-Pick interpolation
    • C. I. Byrnes and A. Lindquist. On the duality between filtering and Nevanlinna-Pick interpolation. SIAM J. Contr. and Optimiz., 39(3):757-775, 2000.
    • (2000) SIAM J. Contr. and Optimiz. , vol.39 , Issue.3 , pp. 757-775
    • Byrnes, C.I.1    Lindquist, A.2
  • 5
    • 0019551389 scopus 로고
    • On the role of the Nevanlinna-Pick problem in circuit and system theory
    • Ph. Delsarte, Y. Genin, and Y. Kamp. On the role of the Nevanlinna-Pick problem in circuit and system theory. Circuit Theory and Applications, 9:177-187, 1981.
    • (1981) Circuit Theory and Applications , vol.9 , pp. 177-187
    • Delsarte, Ph.1    Genin, Y.2    Kamp, Y.3
  • 6
    • 0000666775 scopus 로고    scopus 로고
    • A homotopy approach to rational covariance extension with degree constraint
    • P. Enqvist. A homotopy approach to rational covariance extension with degree constraint. Int. J. Applied Mathematics and Computer Science, 11(5):1173-1201, 2001.
    • (2001) Int. J. Applied Mathematics and Computer Science , vol.11 , Issue.5 , pp. 1173-1201
    • Enqvist, P.1
  • 7
    • 0001078020 scopus 로고
    • A topological approach to Nevanlinna-Pick interpolation
    • T. T. Georgiou. A topological approach to Nevanlinna-Pick interpolation. SIAM J. Math. and Anal. 18(5): 1248-1260, 1987.
    • (1987) SIAM J. Math. and Anal. , vol.18 , Issue.5 , pp. 1248-1260
    • Georgiou, T.T.1
  • 8
    • 0001104862 scopus 로고    scopus 로고
    • The interpolation problem with a degree constraint
    • March
    • T. T. Georgiou. The interpolation problem with a degree constraint. IEEE Trans. Automat. Control, 44(3):631-635, March 1999.
    • (1999) IEEE Trans. Automat. Control , vol.44 , Issue.3 , pp. 631-635
    • Georgiou, T.T.1
  • 9
    • 0035118444 scopus 로고    scopus 로고
    • Spectral estimation via selective harmonic amplification
    • January
    • T. T. Georgiou. Spectral estimation via selective harmonic amplification. IEEE Trans. Automat. Control, 46(1):29-42, January 2001.
    • (2001) IEEE Trans. Automat. Control , vol.46 , Issue.1 , pp. 29-42
    • Georgiou, T.T.1
  • 10
    • 0037246869 scopus 로고    scopus 로고
    • A robust solver using a continuation method for Nevanlinna-Pick interpolation with degree constraint
    • January
    • R. Nagamune. A robust solver using a continuation method for Nevanlinna-Pick interpolation with degree constraint. IEEE Trans. Automat. Control, 48(1): 113-117, January 2003.
    • (2003) IEEE Trans. Automat. Control , vol.48 , Issue.1 , pp. 113-117
    • Nagamune, R.1
  • 14
    • 0001924086 scopus 로고
    • Interpolation with positive-real functions
    • D. C. Youla and M. Saito. Interpolation with positive-real functions. J. Franlkin Institute, 284:77-108, 1967.
    • (1967) J. Franlkin Institute , vol.284 , pp. 77-108
    • Youla, D.C.1    Saito, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.