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Volumn 19, Issue 3, 1998, Pages 833-845

A Padé approximation method for square roots of symmetric positive definite matrices

Author keywords

Matrix square root; Pad approximation; Prime fraction form

Indexed keywords


EID: 0039448072     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S089547989731631X     Document Type: Article
Times cited : (32)

References (14)
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    • Bamberger, A.1    Engquist, B.2    Halpern, L.3    Joly, P.4
  • 4
    • 0000954153 scopus 로고
    • A Schur method for the square root of a matrix
    • A. BJÖRCK AND S. HAMMARLING, A Schur method for the square root of a matrix, Linear Algebra Appl., 52/53 (1983), pp. 127-140.
    • (1983) Linear Algebra Appl. , vol.52-53 , pp. 127-140
    • Björck, A.1    Hammarling, S.2
  • 5
    • 0024874525 scopus 로고
    • An algorithm to compute the square root of a 3 × 3 positive definite matrix
    • L. P. FRANCA, An algorithm to compute the square root of a 3 × 3 positive definite matrix, Comput. Math. Appl., 18 (1989), pp. 459-466.
    • (1989) Comput. Math. Appl. , vol.18 , pp. 459-466
    • Franca, L.P.1
  • 6
    • 0001301897 scopus 로고
    • Newton's method for the matrix square root
    • N. J. HIGHAM, Newton's method for the matrix square root, Math. Comp., 46 (1986), pp. 537-550.
    • (1986) Math. Comp. , vol.46 , pp. 537-550
    • Higham, N.J.1
  • 7
    • 0001485725 scopus 로고
    • Computing real square roots of a real matrix
    • N. J. HIGHAM, Computing real square roots of a real matrix, Linear Algebra Appl., 88/89 (1987), pp. 405-430.
    • (1987) Linear Algebra Appl. , vol.88-89 , pp. 405-430
    • Higham, N.J.1
  • 10
    • 0026944968 scopus 로고
    • Calculation of the square root of a positive-definite matrix
    • V. B. LARIN, Calculation of the square root of a positive-definite matrix, J. Comput. Systems Sci. Internat., 30 (1992), pp. 141-145.
    • (1992) J. Comput. Systems Sci. Internat. , vol.30 , pp. 141-145
    • Larin, V.B.1
  • 11
    • 0007108117 scopus 로고
    • Determination of a square root of a positive definite matrix
    • in Russian
    • V. B. LARIN, Determination of a square root of a positive definite matrix, Dokl. Akad. Nauk SSSR, 320 (1991), pp. 536-538 (in Russian).
    • (1991) Dokl. Akad. Nauk SSSR , vol.320 , pp. 536-538
    • Larin, V.B.1
  • 12
    • 84981865562 scopus 로고
    • An iterative method for the determination of the square root of a positive definite matrix
    • P. PULAY, An iterative method for the determination of the square root of a positive definite matrix, Z. Angew. Math. Mech., 46 (1966), p. 151.
    • (1966) Z. Angew. Math. Mech. , vol.46 , pp. 151
    • Pulay, P.1
  • 13
    • 84968520465 scopus 로고
    • Krylov approximations for matrix square roots in stiff boundary value problems
    • B. A. SCHMITT, Krylov approximations for matrix square roots in stiff boundary value problems, Math. Comp., 58 (1992), pp. 191-212.
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    • Schmitt, B.A.1
  • 14
    • 0021532997 scopus 로고
    • Pseudoinverses in generalizing Newton's method for obtaining the square root of a symmetric positive semidefinite matrix
    • D. WALKER AND C. HALLUM, Pseudoinverses in generalizing Newton's method for obtaining the square root of a symmetric positive semidefinite matrix, Indust. Math., 34 (1984), pp. 137-146.
    • (1984) Indust. Math. , vol.34 , pp. 137-146
    • Walker, D.1    Hallum, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.