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Volume 2, Issue 2 (2014), Pages [105] - [155]

ANALYTIC FUNCTIONS OF COMPLEX MATRICES 

[1] R. Brualdi and D. Cvetkvić, A Combinatorial Approach to Matrix Theory and its Applications, New York, 2009.

 

[2] A. Bernardini, P. Natalini and P. E. Ricci, Multidimensional Bell polynomials of higher order, Comput. Math. Appl. 50 (2005), 1697-1708.

 

[3] G. H. Golud and C. F. Van Loan, Matrix Computations, The Johns Hopkins Press Ltd., London, 1996.

 

[4] Z. M. G. Kishka, Generalized Cauchy integral formula, Sohag Pure Appl. Sci. Bull. Fac. Sci. 9 (1993), 23-34.

 

[5] Z. M. G. Kishka, Functions of several square commutative complex matrices, S. S. Q. J. Pure Appl. Math. 66 (1992), 69-77.

 

[6] S. P. Maclachlan and C. W. Oosterlee, Algebraic multigrid solvers for complex-valued matrices, Siam Sci. Compt. 30 (2008), 1548-1571.

 

[7] S. Z. Rida, M. Abul-Dahab, M. A. Saleem and M. T. Mohammed, On Humbert matrix function  of two complex variables under differential operator, Int. J. Indus. Math. 2 (2010), 167-179.

 

[8] P. Natalini and P. E. Ricci, An extension of the Bell polynomials, Comput. Math. Appl. 47 (2004), 719-725.

 

[9] W. H. Steeb, Problems and Solution in Introduction and Advanced Matrix Calculus, World Scientific, London, 2006.

 

[10] M. Taylor, A. I. Díaz and L. A. Jódar, A matrix generalization of dimensional analysis: New similarity transforms to address the problem of uniqueness, Adv. Studies Theor. Phys. 2 (2008), 979-995.