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Start Over Topic algorithms Region china Publisher multimedia larga
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1. The generalized reflexive solutions of matrix equation AXB + CYD = F and its approximation problem.

Author

Lifang Dai and Maolin Liang

Subjects
*MATRICES (Mathematics), *SMARANDACHE function, *FUNCTION algebras, *ALGORITHMS, *ERROR analysis in mathematics, *ROUNDING errors, *NUMERICAL analysis, *HILBERT'S tenth problem
Abstract

Given generalized reflection matrices R, S, i.e., R* = R, R2 = I, S* = S, S2 = I, a complex matrix A is said to be generalized reflexive (or anti-reflexive), if RAS = A (or RAS = -A). In this paper, Smarandache iterative algorithm is proposed to solve matrix equation AXB + CY D = F with generalized reflexive matrix dual (X,Y ). For any initial iterative matrix pair (X1; Y1), we show that a solution of this equation can be obtained within finite iteration steps in the absence of roundoff errors. Some numerical examples illustrate the feasibility and efficiency of this algorithm. [ABSTRACT FROM AUTHOR]

Published
2009

2. Parameters estimation for a mixture of Inverse Weibull distributions from censored data.

Author

Yuzhu Tian, Wansheng He, and Ping Chen

Subjects
*MATHEMATICAL models, *INVERSE functions, *ESTIMATION theory, *ESTIMATES, *ALGORITHMS, *SIMULATION methods & models, *WEIBULL distribution, *INFORMATION resources
Abstract

In this paper a failure model of the mixed Inverse Weibull distributions(MIWD) is considered and its estimators for all unknown parameters based on type-II and type-I censored data are obtained by means of EM-Algorithm. Some simulations suggest that EM algorithm is effective to our model. [ABSTRACT FROM AUTHOR]

Published
2009