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Authors
Advisor(s)
Abstract(s)
Thirty years ago, G.N. de Oliveira has proposed the following completion problems: Describe the possible characteristic polynomials of [C-ij], i,j is an element of {1, 2}, where C-1,C-1 and C-2,C-2 are square submatrices, when some of the blocks C-ij are fixed and the others vary. Several of these problems remain unsolved. This paper gives the solution, over the field of real numbers, of Oliveira's problem where the blocks C-1,C-1, C-2,C-2 are fixed and the others vary.
Description
Keywords
Eigenvalues Completion problems Prescribed Eigenvalues
Citation
Matos I T, Silva F C. Completion problems for real matrices, II.Linear Algebra and ITS Applications. 2010; 432 (1): 180-202.