Soit F un corps et soient des entiers positifs tels que . Soit
(i) et sont connus et les autres blocs varient ;
(ii) et sont connus et les autres blocs varient.
Let F be a field and let be positive integers such that . Let
(i) , and are fixed and the other blocks vary;
(ii) , and are fixed and the remaining blocks vary.
Accepté le :
Publié le :
@article{CRMATH_2007__344_11_673_0, author = {Cravo, Gl\'oria}, title = {Some matrix completion problems}, journal = {Comptes Rendus. Math\'ematique}, pages = {673--676}, publisher = {Elsevier}, volume = {344}, number = {11}, year = {2007}, doi = {10.1016/j.crma.2007.04.016}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2007.04.016/} }
TY - JOUR AU - Cravo, Glória TI - Some matrix completion problems JO - Comptes Rendus. Mathématique PY - 2007 SP - 673 EP - 676 VL - 344 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2007.04.016/ DO - 10.1016/j.crma.2007.04.016 LA - en ID - CRMATH_2007__344_11_673_0 ER -
Cravo, Glória. Some matrix completion problems. Comptes Rendus. Mathématique, Tome 344 (2007) no. 11, pp. 673-676. doi : 10.1016/j.crma.2007.04.016. http://archive.numdam.org/articles/10.1016/j.crma.2007.04.016/
[1] G. Cravo, Eigenvalues of matrices with prescribed submatrices, A. D. Journal of Mathematics, in press
[2] G. Cravo, Matrices with prescribed eigenvalues and prescribed submatrices, Preprint
[3] G. Cravo, Valores Próprios de Matrizes Parcialmente Conhecidas, PhD thesis, University of Lisbon, 2002
[4] Existence of matrices with prescribed eigenvalues and entries, Linear and Multilinear Algebra, Volume 14 (1983), pp. 315-342
[5] Matrices with prescribed characteristic polynomial and several prescribed submatrices, Linear and Multilinear Algebra, Volume 2 (1975), pp. 357-364
[6] Imbedding conditions for λ-matrices, Linear Algebra Appl., Volume 24 (1979), pp. 33-50
[7] Interlacing inequalities for invariant factors, Linear Algebra Appl., Volume 24 (1979), pp. 1-31
Cité par Sources :