Eigenvalues of a real supersymmetric tensor

Journal of Symbolic Computation - Tập 40 - Trang 1302-1324 - 2005
Liqun Qi1
1Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong

Tài liệu tham khảo

Anderson, 1975, Output feedback stabilization and related problems—solutions via decision methods, IEEE Trans. Automat. Control, AC20, 55 Bose, 1974, Algorithm for stability test of multidimensional filters, IEEE Trans. Acoust. Speech Signal Process., ASSP-22, 307, 10.1109/TASSP.1974.1162592 Bose, 1976, General procedure for multivariable polynomial positivity with control applications, IEEE Trans. Automat. Control, AC21, 596 Bose, 1974, Tellegon’s theorem and multivariate realizability theory, Int. J. Electron., 36, 417, 10.1080/00207217408900421 Cayley, 1845, On the theory of linear transformations, Cambridge Math. J., 4, 1 Cox, 1998 D’Andrea, 2001, Explicit formulas for the multivariate resultant, J. Pure Appl. Algebra, 164, 59, 10.1016/S0022-4049(00)00145-6 Fu, 1998, Comments on ‘A procedure for the positive definiteness of forms of even-order’, IEEE Trans. Autom. Control, 43, 1430, 10.1109/9.720500 Gelfand, 1994 Hasan, 1996, A procedure for the positive definiteness of forms of even-order, IEEE Trans. Autom. Control, 41, 615, 10.1109/9.489287 Hsu, 1968 Jury, 1981, Positivity and nonnegativity conditions of a quartic equation and related problems, IEEE Trans. Automat. Control, AC26, 444, 10.1109/TAC.1981.1102589 Kofidis, 2002, On the best rank-1 approximation of higher-order supersymmetric tensors, SIAM J. Matrix Anal. Appl., 23, 863, 10.1137/S0895479801387413 Ku, 1965, Explicit criterion for the positive definiteness of a general quartic form, IEEE Trans. Autom. Control, 10, 372, 10.1109/TAC.1965.1098177 Qi, L., 2004. Eigenvalues of a supersymmetric tensor and positive definiteness of an even degree multivariate form. Department of Applied Mathematics, The Hong Kong Polytechnic University Qi, 2003, Multivariate polynomial minimization and its application in signal processing, J. Global Optim., 26, 419, 10.1023/A:1024778309049 Sturmfels, 1993 Sturmfels, 2002 Wang, 2005, Comments on ‘Explicit criterion for the positive definiteness of a general quartic form’, IEEE Trans. Autom. Control, 50, 416, 10.1109/TAC.2005.843851 Zhou, S., 2004. Private communication