Volume 32 Issue 10
Oct.  2007
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SONG Yingchun, ZHU Jianjun, CHEN Zhengyang, ZENG Lianbin. A New Approach for Adjustment Model with Some Nonnegative Constrained Parameters[J]. Geomatics and Information Science of Wuhan University, 2007, 32(10): 883-887.
Citation: SONG Yingchun, ZHU Jianjun, CHEN Zhengyang, ZENG Lianbin. A New Approach for Adjustment Model with Some Nonnegative Constrained Parameters[J]. Geomatics and Information Science of Wuhan University, 2007, 32(10): 883-887.
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A New Approach for Adjustment Model with Some Nonnegative Constrained Parameters

  • 1 School of Info-physics and Geomatics Engineering,Central South University, South Lushan Road, Changsha 410083, China

Funds: 国家自然科学基金资助项目(40574003);国家教育部博士点专项基金资助项目(20050533057);湖南省自然科学基金资助项目(06JJ5131)
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  • Received Date: July 27, 2007
  • Revised Date: July 27, 2007
  • Published Date: October 04, 2007
    Graphical Abstract
    • Abstract
  • A new algorithm for adjustment model with some nonnegative constrained parameters is suggested. In this algorithm, nonnegative constrained least-square problems are first transformed to convex quadratic programming problems, and then the programming problems are solved for the optimal solutions. The are necessary and sufficient conditions on the solvability for optimization solution are given, consequently the general form of least-squares estimation in adjustment model is given, as well as algorithm that are simple and easy to understand. A comparative calculation on a simulation example indicates that this algorithm can be applied to adjustment computation in the practical measurement.
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