A globally convergent numerical method with fourth order for computing the matrix sign

[1]  Alicia Cordero,et al.  An optimal and low computational cost fractional Newton-type method for solving nonlinear equations , 2022, Appl. Math. Lett..

[2]  Fuad W. Khdhr,et al.  A family of high order iterations for calculating the sign of a matrix , 2020, Mathematical Methods in the Applied Sciences.

[3]  Ashim Kumar,et al.  A fourth-order method for computing the sign function of a matrix with application in the Yang–Baxter-like matrix equation , 2019, Comput. Appl. Math..

[4]  T. Lotfi,et al.  A globally convergent variant of mid-point method for finding the matrix sign , 2018, Computational and Applied Mathematics.

[5]  Alicia Cordero,et al.  Numerically stable improved Chebyshev-Halley type schemes for matrix sign function , 2017, J. Comput. Appl. Math..

[6]  F. Soleymani,et al.  Several numerical methods for computing unitary polar factor of a matrix , 2016 .

[7]  Fazlollah Soleymani,et al.  A Novel Iterative Method for Polar Decomposition and Matrix Sign Function , 2015 .

[8]  Malik Zaka Ullah,et al.  Construction of a convergent scheme for finding matrix sign function , 2015, Appl. Math. Comput..

[9]  Fazlollah Soleymani,et al.  Some Matrix Iterations for Computing Matrix Sign Function , 2014, J. Appl. Math..

[10]  Federico Greco,et al.  A Padé family of iterations for the matrix sign function and related problems , 2012, Numer. Linear Algebra Appl..

[11]  Bruno Iannazzo,et al.  The Pade iterations for the matrix sign function and their reciprocals are optimal , 2010, 1011.1725.

[12]  Young Hee Geum,et al.  A multi-parameter family of three-step eighth-order iterative methods locating a simple root , 2010, Appl. Math. Comput..

[13]  Nicholas J. Higham,et al.  Functions of matrices - theory and computation , 2008 .

[14]  Enrique S. Quintana-Ortí,et al.  Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function , 2007, Numerical Algorithms.

[15]  A. Laub,et al.  Rational iterative methods for the matrix sign function , 1991 .

[16]  S. Wagon.  Mathematica in action , 1991 .

[17]  Leang S. Shieh,et al.  Matrix sector functions and their applications to systems theory , 1984 .

[18]  J. D. Roberts,et al.  Linear model reduction and solution of the algebraic Riccati equation by use of the sign function , 1980 .