Upper bounds on the magnitude of solutions of certain linear systems with integer coefficients

Electronic Journal of Linear Algebra

Volumn 24, Issue , 2012, Pages 113-125

  Freitas, Pedro J ^a,b   Friedland, Shmuel ^c   Porta, Gaspar ^d  

^a Centro de Estruturas Lineares e Combinat oria   (Spain)

^b UNIVERSITY OF LISBON   (Portugal)

^c UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

^d WASHBURN UNIVERSITY   (United States)

Author keywords

Linear Systems; Upper Bounds

Indexed keywords

EID: 84864863765     PISSN: None     EISSN: 10813810     Source Type: Journal    
DOI: 10.13001/1081-3810.1583     Document Type: Article

References (6)

1. R. A. Brualdi, S. Friedland and A. Pothen, The sparse basis problem and multilinearalgebra. SIAM J. Matrix Anal. Appl. 16 (1995), 1-20.
2. M. Cipu, Small solutions to systems of polynomial equations with integer coefficients, An. St. Univ. Ovidius Constanta 19 (2011), no. 2, 89-100.
3. T. F. Coleman, A. Pothen, The null space problem I. Complexity, SIAM J. Alg. Disc. Math. (1986), 527-537.
4. R. A. Horn and C. R. Johnson, Matrix Analysis Cambridge University Press, 1990.
5. A. Tyszka, Some conjectures on addition and multiplication of complex (real) numbers, Int. Math. Forum 4 (2009), no. 9-12, 521-530.
6. A. Tyszka, Two conjectures on the arithmetic in R and C. Mathematical Logic Quarterly 56 (2010), 175-184. doi: 10.1002/malq.200910004