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Computing the Nearest Doubly Stochastic Matrix with A Prescribed Entry

✍ Scribed by Bai, Zheng‐Jian; Chu, Delin; Tan, Roger C. E.

Book ID
118191888
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
236 KB
Volume
29
Category
Article
ISSN
1064-8275

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The nearest ‘doubly stochastic’ matrix t
The nearest ‘doubly stochastic’ matrix to a real matrix with the same first moment
✍ William Glunt; Thomas L. Hayden; Robert Reams 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 52 KB

Let T be an arbitrary n × n matrix with real entries. We consider the set of all matrices with a given complex number as an eigenvalue, as well as being given the corresponding left and right eigenvectors. We find the closest matrix A, in Frobenius norm, in this set to the matrix T . The normal cone