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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1002/bit.260200109

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1572-9265

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A binary powering Schur algorithm for computing pr

Authors: Federico Greco Bruno Iannazzo
Publish Date: 2010/01/23
Volume: 55, Issue: 1, Pages: 59-78
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Abstract

An algorithm for computing primary roots of a nonsingular matrix A is presented In particular it computes the principal root of a real matrix having no nonpositive real eigenvalues using real arithmetic The algorithm is based on the Schur decomposition of A and has an order of complexity lower than the customary Schur based algorithm namely the Smith algorithm


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  1. Correction of eigenvalues estimated by the Legendre–Gauss Tau method
  2. Design with L-splines
  3. Accelerated Landweber methods based on co-dilated orthogonal polynomials
  4. A small note on the scaling of symmetric positive definite semiseparable matrices
  5. Solitary wave solutions of the one-dimensional Boussinesq equations
  6. Numerical solutions of index-1 differential algebraic equations can be computed in polynomial time
  7. Recursive self preconditioning method based on Schur complement for Toeplitz matrices
  8. A subspace conjugate gradient algorithm for large-scale unconstrained optimization
  9. The sparse cardinal sine decomposition and its application for fast numerical convolution
  10. A family of Steffensen type methods with seventh-order convergence
  11. On linearly related orthogonal polynomials in several variables
  12. Orthogonal polynomials—centroid of their zeroes
  13. Numerical methods for computing sensitivities for ODEs and DDEs
  14. The impact of parameter selection on the performance of an automatic adaptive code for solving reaction–diffusion equations in three dimensions
  15. A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix
  16. Extrapolation algorithms for solving nonlinear boundary integral equations by mechanical quadrature methods
  17. A global convergent derivative-free method for solving a system of non-linear equations
  18. A new constrained total variational deblurring model and its fast algorithm
  19. Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control
  20. Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques
  21. A study of accelerated Newton methods for multiple polynomial roots
  22. Non-uniform exponential tension splines
  23. Nonmonotone line search methods with variable sample size
  24. Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations
  25. On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations
  26. Accelerated hybrid conjugate gradient algorithm with modified secant condition for unconstrained optimization
  27. A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation
  28. Algorithms and software for total variation image reconstruction via first-order methods

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