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- Puzzled: Wins in a row
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Scaling Matrices to Prescribed Row and Column Maxima
A nonnegative symmetric matrix $B$ has row maxima prescribed by a given vector $r$, if for each index $i$, the maximum entry in the $i$th row of $B$ equals $r_i$. This paper presents necessary and sufficient conditions so that for a given nonnegative ...
Row Modifications of a Sparse Cholesky Factorization
Given a sparse, symmetric positive definite matrix C and an associated sparse Cholesky factorization LDL$\tr$, we develop sparse techniques for updating the factorization after a symmetric modification of a row and column of C. We show how the ...
Matrices with Two Nonzero Entries per Row
ISSAC '15: Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic ComputationMatrices with two nonzero entries per row (or per column) occur in many contexts. For example, edge-vertex incidence matrices of graphs have this form. Also, the boundary matrix for the highest dimensional simplices in a simplicial complex sometimes has ...
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