{"title":"On Generalized New Class of Matrix Polynomial Set","authors":"Ghazi S. Kahmmash","volume":26,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":108,"pagesEnd":112,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10374","abstract":"
New generalization of the new class matrix polynomial set have been obtained. An explicit representation and an expansion of the matrix exponential in a series of these matrix are given for these matrix polynomials.<\/p>\r\n","references":"[1] E. Defez, L. Jodar \"Some application of the Hermite matrix\r\npolynomials series expansions,\" J. comp. Appl. Math. Vol. 99(1-2)\r\npp.105-117, (1998).\r\n[2] E. Defez, M.Garcia -Honrubia and R.J. Villanueva, \"A procedure for\r\ncomputing the Exponential of a matrix using Hermite matrix\r\npolynomials\", Far East. J. Applied Mathematics, 6(3)pp. 217-231,\r\n2002.\r\n[3] L. Jodar, E. Defez, \"On Hermite matrix polynomials and Hermite\r\nmatrix function\", J.\r\n[4] L. Jodar, R. Company, \"Hermite matrix polynomials and second order\r\nmatrix differential equations,J\". Approx. Theory Appl1,2 (2) pp.20-\r\n30, 1996.\r\n[5] G. S. Kahmmash (2008), \"A new class of matrix polynomial set\r\nsuggested by Hermite matrix Polynomials\", to be published.\r\n[6] K.A.M. Sayyed, M.S. Metwally , R.S. Batahan, \"On Generalized\r\nHermite Matrix Polynomials\" Elect. J. Linear Algebra Vol.(10)\r\npp.272-279, 2003.\r\n[7] N. Dunford , J. Schwartz , \"Linear operators\". Vol. I, Interscience ,\r\nNew York, Approx. Theory Appl, 14(1) pp.36 - 48, 1998.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 26, 2009"}