6,719 research outputs found
Convergence on Gauss-Seidel iterative methods for linear systems with general H-matrices
It is well known that as a famous type of iterative methods in numerical
linear algebra, Gauss-Seidel iterative methods are convergent for linear
systems with strictly or irreducibly diagonally dominant matrices, invertible
matrices (generalized strictly diagonally dominant matrices) and Hermitian
positive definite matrices. But, the same is not necessarily true for linear
systems with nonstrictly diagonally dominant matrices and general matrices.
This paper firstly proposes some necessary and sufficient conditions for
convergence on Gauss-Seidel iterative methods to establish several new
theoretical results on linear systems with nonstrictly diagonally dominant
matrices and general matrices. Then, the convergence results on
preconditioned Gauss-Seidel (PGS) iterative methods for general matrices
are presented. Finally, some numerical examples are given to demonstrate the
results obtained in this paper
The Relationship Between Teachers’ Perception Towards School Climate and Their Decision-Making Styles at a Primary School in Anning District, Lanzhou City, China
 The main purpose of this study was to determine the relationship between teachers’ perception towards school climate and their decisionmaking styles at a selected primary school in Anning District, Lanzhou city, China. The study firstly assessed the teachers’ perception towards school climate, examined the teachers’ decision-making styles; lastly tested the relationship between these two main variables. A total of 71 full-time teachers replied the questionnaires adopted by the researcher. Means and Standard Deviations were used to report the teachers’ perception towards school climate and their decision-making styles; Pearson Product Moment Correlation Coefficient analysis was applied to test the relationship between these two variables. The results showed that, the teachers in the target school had a relatively positive attitude towards school climate. Besides, teachers’ most preferred decision-making style was group decision-making style. The Pearson Correlation test indicated that there was a significant relationship between teachers’ perception towards school climate and their decisionmaking styles at the selected primary school in Anning District, Lanzhou city, China.
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