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| Topic: |
Technology
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| Number of pages / Number of words: |
7 / 1765 |
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The proposed method will work independent of this choice.
Triangular factorization with row pivoting and row exchange, which occurs in the step where the zero pivot is encountered, within existing [pic] measurements until we cannot select non-zero pivoting will yield the following:
[pic]
where, the sparse lower triangular matrix[pic] and sparse rectangular matrix [pic] are corresponding to the existing measurements (especially [pic] represents the redundant measurements), and sparse rectangular matrix [pic] is corresponding the the candidate measurements...
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[pic] is sparse upper triangular matrices. In carrying out the factorization procedure, row pivoting is restricted to the existing [pic] measurements. If the column rank of the sparse lower triangular matrix[pic] is full, then the system is observable. If not, we have to select candidate rows from [pic] to make the matrix rank full...
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