A primer of Perron–Frobenius theory for matrix polynomials

Bapat, 1997 Bapat, 1995, Perron–Frobenius theory for a generalized eigenproblem, Linear and Multilinear Algebra, 40, 141, 10.1080/03081089508818429 Berman, 1994 Bini, 2002, Solving matrix polynomial equations arising in queuing problems, Linear Algebra Appl, 340, 225, 10.1016/S0024-3795(01)00426-8 J.M. Cushing, An Introduction to Structured Population Dynamics, CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, 1998 Fiedler, 1992, A classification of matrices of class Z, Linear Algebra Appl, 173, 115, 10.1016/0024-3795(92)90425-A Förster, 1991, Some properties of the spectral radius of a monic operator polynomial with nonnegative compact coefficients, Integral Equations Operator Theory, 14, 794, 10.1007/BF01198938 Förster, 2003, On spectra of expansion graphs and matrix polynomials, Linear Algebra Appl, 363, 89, 10.1016/S0024-3795(01)00595-X Förster, 2002, On spectra of expansion graphs and matrix polynomials, II, Electron. J. Linear Algebra, 9, 158 Friedland, 1999, Spectra of expansion graphs, Electron. J. Linear Algebra, 6, 2, 10.13001/1081-3810.1035 Gohberg, 1982 Gohberg, 1986 Grassmann, 2002, Real eigenvalues of certain tridiagonal matrix polynomials, with queuing applications, Linear Algebra Appl, 342, 93, 10.1016/S0024-3795(01)00462-1 Horn, 1990 Horn, 1991 Lancaster, 1985 Li, 2002, Applications of Perron–Frobenius theory to population dynamics, J. Math. Biol, 44, 450, 10.1007/s002850100132 Lotz, 1968, Über einen Satz von F. Niiro und I. Swwashima, Math. Z, 108, 33, 10.1007/BF01110454 Li, 2002, The numerical range of a nonnegative matrix, Linear Algebra Appl, 350, 1, 10.1016/S0024-3795(02)00291-4 J.N. Issos, The field of values of non-negative irreducible matrices, Ph.D. Thesis, Auburn University, 1966 McDonald, 1998, Z-pencils, Electron. J. Linear Algebra, 4, 32, 10.13001/1081-3810.1023 Maroulas, 1996, Geometrical properties of numerical range of matrix polynomials, Computers Math. Applic, 31, 41, 10.1016/0898-1221(95)00214-6 Maroulas, 2002, Perron–Frobenius type results on the numerical range, Linear Algebra Appl, 348, 49, 10.1016/S0024-3795(01)00574-2 Ngoc, 2003, Stability radii of positive linear difference equations under affine parameter perturbations, Appl. Math. Comput, 134, 577, 10.1016/S0096-3003(01)00306-X Psarrakos, 2004, On the estimation of the q-numerical range of monic matrix polynomials, Electron. Trans. Numer. Anal, 17, 1 Rothblum, 1975, Algebraic eigenspaces of nonnegative matrices, Linear Algebra Appl, 12, 281, 10.1016/0024-3795(75)90050-6 Rau, 1992, On the peripheral spectrum of monic operator polynomials with positive coefficients, Integral Equations Operator Theory, 15, 479, 10.1007/BF01200331 Roy, 2000, Dynamics of money, output and price interaction––some Indian evidence, Economic Modelling, 17, 559, 10.1016/S0264-9993(99)00039-5 Schaefer, 1974 Schneider, 1986, The influence of the marked reduced graph of a nonnegative matrix on the Jordan Form and on related properties: A survey, Linear Algebra Appl, 84, 161, 10.1016/0024-3795(86)90313-7 Varga, 2000