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N-matrix completion problem

✍ Scribed by C.Mendes Araújo; Juan R. Torregrosa; Ana M. Urbano

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
132 KB
Volume
372
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

The symmetric N-matrix completion proble
The symmetric N-matrix completion problem
✍ C. Mendes Araújo; Juan R. Torregrosa; Ana M. Urbano 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 261 KB

An n × n matrix is called an N -matrix if all its principal minors are negative. In this paper, we are interested in the symmetric N -matrix completion problem, that is, when a partial symmetric N -matrix has a symmetric N -matrix completion. Here, we prove that a partial symmetric N -matrix has a s

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✍ Glória Cravo 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 379 KB

Throughout the last decades, several results have been published in the area of the so-called Matrix Completion Problems. In this paper, we survey several results in this field. In particular, we describe the possible eigenvalues, the characteristic polynomial, the invariant polynomials, or the numb

The symmetric inverse M-matrix completio
The symmetric inverse M-matrix completion problem
✍ Charles R. Johnson; Ronald L. Smith 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 830 KB

Necessary and sufficient conditions are given on the data for completability of a partial symmetric inverse M-matrix, the graph of whose specified entries is a cycle, and these conditions coincide with those we identify to be necessary in the general (nonsymmetric) case. Graphs for which all partial