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Volumn 89, Issue 1, 2001, Pages 49-82

Factorization of analytic functions by means of Koenig's theorem and Toeplitz computations

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EID: 0035597738     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005463     Document Type: Article
Times cited : (15)

References (36)
  • 1
    • 0039852300 scopus 로고    scopus 로고
    • Factorization of analytic functions by means of Koenig's theorem and Toeplitz computations
    • Computer Science Dep., University of Pisa, Pisa
    • D. Bini, L. Gemignani, B. Meini, Factorization of Analytic Functions by means of Koenig's Theorem and Toeplitz Computations. Tech. Rep. n.98-08, Computer Science Dep., University of Pisa, Pisa, 1998
    • (1998) Tech. Rep. , pp. 98-108
    • Bini, D.1    Gemignani, L.2    Meini, B.3
  • 2
    • 0033239802 scopus 로고    scopus 로고
    • Effective methods for solving banded Toeplitz systems
    • D. Bini, B. Meini, Effective Methods for Solving Banded Toeplitz Systems. SIAM J. Matrix Anal. Appl. 20 (1999), 700-719
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 700-719
    • Bini, D.1    Meini, B.2
  • 3
    • 21744455100 scopus 로고    scopus 로고
    • Improved cyclic reduction for solving queueing problems
    • D. Bini, B. Meini, Improved Cyclic Reduction for Solving Queueing Problems. Numerical Algorithms 15 (1997), 57-74
    • (1997) Numerical Algorithms , vol.15 , pp. 57-74
    • Bini, D.1    Meini, B.2
  • 4
    • 0005317285 scopus 로고    scopus 로고
    • Using displacement structure for solving non-skip-free M/G/1 type Markov chains
    • A. Alfa and S. Chakravarthy Eds., Notable Publications Inc., NJ
    • D. Bini, B. Meini, Using Displacement Structure for Solving Non-Skip-Free M/G/1 Type Markov Chains . Advances in Matrix Analytic Methods for Stochastic Models, A. Alfa and S. Chakravarthy Eds., 1998, Notable Publications Inc., NJ, pp. 17-37
    • (1998) Advances in Matrix Analytic Methods for Stochastic Models , pp. 17-37
    • Bini, D.1    Meini, B.2
  • 7
    • 0030512509 scopus 로고    scopus 로고
    • Graeffe's, Chebyshev-like and cardinal's processes for splitting a polynomial into factors
    • D. Bini, V. Y. Pan, Graeffe's, Chebyshev-like and Cardinal's Processes for Splitting a Polynomial into Factors. J. Complexity 12 (1996), 492-511
    • (1996) J. Complexity , vol.12 , pp. 492-511
    • Bini, D.1    Pan, V.Y.2
  • 8
    • 0000081585 scopus 로고
    • Asymptotically fast solution of Toeplitz and related systems of linear equation
    • R. R. Bitmead and B. D. O. Anderson, Asymptotically Fast Solution of Toeplitz and Related Systems of Linear Equation. Linear Algebra Appl. 34, (1980), 103-116
    • (1980) Linear Algebra Appl. , vol.34 , pp. 103-116
    • Bitmead, R.R.1    Anderson, B.D.O.2
  • 9
    • 0000161555 scopus 로고
    • On direct methods for solving Poisson's equations
    • B. L. Buzbee, G. H. Golub, C. W. Nielson, On Direct Methods for Solving Poisson's Equations. SIAM J. Num. Anal. 7 (1970), 627-656
    • (1970) SIAM J. Num. Anal. , vol.7 , pp. 627-656
    • Buzbee, B.L.1    Golub, G.H.2    Nielson, C.W.3
  • 10
    • 0011512067 scopus 로고
    • On two iterative methods for approximating the roots of a polynomial
    • Park City, Utah
    • J. P. Cardinal, On Two Iterative Methods for Approximating the Roots of a Polynomial. Proc. of Workshop: Mathematics of Numerical Analysis: Real Numbers Algorithms, Park City, Utah, (1995) (J. Renegar, M. Shub and S. Smale Eds.), Lect. in Appl. Math., Amer. Math. Soc., Providence, RI
    • (1995) Proc. of Workshop: Mathematics of Numerical Analysis: Real Numbers Algorithms
    • Cardinal, J.P.1
  • 11
    • 0040445270 scopus 로고    scopus 로고
    • Providence, RI
    • J. P. Cardinal, On Two Iterative Methods for Approximating the Roots of a Polynomial. Proc. of Workshop: Mathematics of Numerical Analysis: Real Numbers Algorithms, Park City, Utah, (1995) (J. Renegar, M. Shub and S. Smale Eds.), Lect. in Appl. Math., Amer. Math. Soc., Providence, RI
    • Lect. in Appl. Math., Amer. Math. Soc.
    • Renegar, J.1    Shub, M.2    Smale, S.3
  • 12
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for Toeplitz systems
    • R. H. Chan, M. K. Ng, Conjugate Gradient Methods for Toeplitz Systems. SIAM Review 38 (1996), 427-482
    • (1996) SIAM Review , vol.38 , pp. 427-482
    • Chan, R.H.1    Ng, M.K.2
  • 14
    • 0032354165 scopus 로고    scopus 로고
    • Computing a factor of a polynomial by means of multishift LR algorithms
    • L. Gemignani, Computing a Factor of a Polynomial by means of Multishift LR Algorithms. SIAM J. Matrix Anal. Appl. 19 (1998), 161-181
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , pp. 161-181
    • Gemignani, L.1
  • 15
    • 0041039207 scopus 로고    scopus 로고
    • Polynomial root computation by means of the LR algorithm
    • L. Gemignani, Polynomial Root Computation by means of the LR Algorithm. BIT 37 (1997), 333-345
    • (1997) BIT , vol.37 , pp. 333-345
    • Gemignani, L.1
  • 16
    • 0034496949 scopus 로고    scopus 로고
    • Computing a Hurwitz factorization of a polynomial
    • to appear
    • L. Gemignani, Computing a Hurwitz Factorization of a Polynomial. J. Comput. Appl. Math. (to appear)
    • J. Comput. Appl. Math.
    • Gemignani, L.1
  • 17
    • 0004236492 scopus 로고
    • The Johns Hopkins University Press, Baltimore, Maryland
    • G. H. Golub, C. F. Van Loan, Matrix Computations. The Johns Hopkins University Press, Baltimore, Maryland, 1989
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 19
    • 0002675246 scopus 로고
    • Algebraic methods for Toeplitz-like matrices and operators
    • Birkhäuser, Boston, MA
    • G. Heinig, K. Rost, Algebraic Methods for Toeplitz-like Matrices and Operators. Oper. Theory 13, Birkhäuser, Boston, MA, 1984
    • (1984) Oper. Theory , vol.13
    • Heinig, G.1    Rost, K.2
  • 22
    • 0000665794 scopus 로고
    • Displacement structure: Theory and applications
    • T. Kailath, A. H. Sayed, Displacement Structure: Theory and Applications. SIAM Rev. 37 (1995), 297-386
    • (1995) SIAM Rev. , vol.37 , pp. 297-386
    • Kailath, T.1    Sayed, A.H.2
  • 23
    • 0039835468 scopus 로고    scopus 로고
    • Partial fraction decomposition in C(z) and simultaneous newton iteration for factorization in C[z]
    • P. Kirrinnis, Partial Fraction Decomposition in C(z) and Simultaneous Newton Iteration for Factorization in C[z]. J. Complexity 14 (1998), 378-144
    • (1998) J. Complexity , vol.14 , pp. 378-1144
    • Kirrinnis, P.1
  • 24
    • 21844506405 scopus 로고
    • Newton's iteration for nonlinear equations in Markov chains
    • G. Latouche, Newton's Iteration for Nonlinear Equations in Markov Chains. IMA J. Numerical Anal. 14 (1994), 583-598
    • (1994) IMA J. Numerical Anal. , vol.14 , pp. 583-598
    • Latouche, G.1
  • 25
    • 0000622890 scopus 로고
    • Efficient implementation of Wilson's algorithm for factorizing a self-reciprocal polynomial
    • D. P. Laurie, Efficient Implementation of Wilson's Algorithm for Factorizing a Self-Reciprocal Polynomial. BIT 20 (1980), 257-259
    • (1980) BIT , vol.20 , pp. 257-259
    • Laurie, D.P.1
  • 26
    • 0031321618 scopus 로고    scopus 로고
    • New convergence results on functional iteration techniques for the numerical solution of M/G/1 type Markov chains
    • B. Meini, New Convergence Results on Functional Iteration Techniques for the Numerical Solution of M/G/1 Type Markov Chains. Numer. Math. 78 (1997), 39-58
    • (1997) Numer. Math. , vol.78 , pp. 39-58
    • Meini, B.1
  • 28
    • 0030168306 scopus 로고    scopus 로고
    • Optimal and nearly optimal algorithms for approximating polynomial zeros
    • V. Y. Pan, Optimal and Nearly Optimal Algorithms for Approximating Polynomial Zeros. Comput. Math. Appl. 31 (1996), 97-138
    • (1996) Comput. Math. Appl. , vol.31 , pp. 97-138
    • Pan, V.Y.1
  • 29
    • 0029346257 scopus 로고
    • Deterministic improvement of complex polynomial factorization based on the properties of associated resultant
    • V. Y. Pan, Deterministic Improvement of Complex Polynomial Factorization Based on the Properties of Associated Resultant. Comput. Math. Appl. 30 (1995), 237-250
    • (1995) Comput. Math. Appl. , vol.30 , pp. 237-250
    • Pan, V.Y.1
  • 32
    • 0002731345 scopus 로고
    • On a companion operator for analytic functions
    • G. W. Stewart, On a Companion Operator for Analytic Functions. Numer. Math. 18 (1971), 26-43
    • (1971) Numer. Math. , vol.18 , pp. 26-43
    • Stewart, G.W.1
  • 33
    • 0039260594 scopus 로고    scopus 로고
    • A stabilized superfast solver for indefinite Hankel systems
    • M. Van Barel, P. Kravanja, A Stabilized Superfast Solver for Indefinite Hankel Systems. Linear Algebra Appl. 284 (1998), 275-295
    • (1998) Linear Algebra Appl. , vol.284 , pp. 275-295
    • Van Barel, M.1    Kravanja, P.2
  • 34
    • 0040445283 scopus 로고
    • Some numerical challenges in control theory. Linear algebra for control theory
    • Springer, NY
    • P. Van Dooren, Some Numerical Challenges in Control Theory. Linear Algebra for Control Theory, IMA Vol. Math. Appl. 62, Springer, NY, 1994
    • (1994) IMA Math. Appl. , vol.62
    • Van Dooren, P.1


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