Subtotally positive and Monge matrices
نویسندگان
چکیده
منابع مشابه
Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications
We describe a data structure for submatrix maximum queries in Monge matrices or Monge partial matrices, where a query specifies a contiguous submatrix of the given matrix, and its output is the maximum element of that submatrix. Our data structure for an n × n Monge matrix takes O(n log n) space, O(n log n) preprocessing time, and can answer queries in O(log n) time. For a Monge partial matrix ...
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We present efficient data structures for submatrix maximum queries in Monge matrices and Monge partial matrices. For n× n Monge matrices, we give a data structure that requires O(n) space and answers submatrix maximum queries in O(logn) time. The best previous data structure [Kaplan et al., SODA‘12] required O(n logn) space and O(log n) query time. We also give an alternative data structure wit...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2006
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.08.020