ste ensen method for solving nonlinear matrix equation x+a^t x^(-1) a=q

Authors

a nazari

department of mathematics, arak university, p.o. box 38156-8-8349, arak, iran. kh sayehvand

faculty of mathematical sciences, university of malayer, p. o. box 16846-13114, malayer, iran. m rostami

faculty of mathematical sciences, university of malayer, p. o. box 16846-13114, malayer, iran.

abstract

in this article we study ste ensen method to solve nonlinear matrix equation x+a^t x^(-1) a=q, when a is a normal matrix. we establish some conditions that generate a sequence of positive de nite matrices which converges to solution of this equation.

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Journal title:
journal of linear and topological algebra (jlta)

جلد ۳، شماره ۰۴، صفحات ۲۳۱-۲۴۷

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