This page contains all papers I have published (often as co-author) since 1995,
except for a few on my Wielandt page.
For a few more, see Older Papers.
Where no indication is given, the file is in Latex.
- Perron-Frobenius theory over real closed ordered fields and fractional
power series expansions (with B.C. Eaves and U.G. Rothblum) Lin. Alg.
Appl. 220 (1995), 123-150, (#120), pdf
- Inverse M-matrix inequalities and generalized
ultrametric matrices
(with J. McDonald, M. Neumann and M. Tsatsomeros), Lin. Alg. Appl.
220:321-341 (1995) (#121)
- Inverses of unipathic M-matrices (joint
with J. McDonald, M. Neumann, and M. Tsatsomeros), SIAM J. Matrix
Anal. 17 (1996), 1025 - 1036. (#128)
-
A solution of a nonlinear system arising in spectral perturbation
theory of nonnegative matrices (with U.G. Rothblum) Lin. Alg, Appl.
258 (1997), 53-80, #123, pdf file.
- Block LU decompositions of M-matrices (joint with J.
McDonald), Numer. Math. 80 (1998), 109 - 130. (#119)
- Inverse tridiagonal Z-matrices (with J.
McDonald, R. Nabben, M. Neumann and M. Tsatsomeros) (to appear in LAMA)
(#129).
- Approximability by weighted norms of the structured
and volumetric singular values of a class of nonnegative matrices, (with
D. Hershkowitz, W. Huang and H. Weinberger), SIMAX 18:334-347 (1997)(#126
- Plain TeX file)
- Norms and inequalities related to Schur products of
rectangular matrices, (joint with Wenchao Huang, Chi-Kwong
Li), SIMAX 18:334-347 (1997) (#125)
- On matrices on which norm bounds are attained, (joint with Hans
Weinberger) Lin. Alg. Appl., 275-6 (1998), 563 - 577
(#131)
- On the invariant faces associated with a cone-
preserving map (joint with B.S. Tam) Trans. Amer. Math. Soc.,
Trans. AMS, 353 (2000), 209-245, (ps file) (#122)
- Partial norms and the convergence of general products
of matrices (joint with M. Neumann) U. Bielefeld Sonderforschungsbereich 343
Preprint 97 - 108, (unpublished original version of #132)
-
The convergence of
general products of matrices and the weak ergodicity of Markov
chains (with M. Neumann), LAA 287 (1999), 307 - 314. (#132)
- Bounds on norms of compound matrices and on products of
eigenvalues (joint with L. Elsner and D. Hershkowitz)
Bull. London. Math. Soc., to appear. (#133)
- Lyapunov revisited: Variations on a matrix theme
(expository), Operators, Systems and Linear Algebra, Ed.
U. Helmke, D. Pr\"atzel-Wolters, E. Zerz,
pp. 175 - 181,
Teubner (1997), (#134)
- Preface to Volume 2 of Helmut Wielandt's
Mathematical Works. (plain text file)
- Some personal reminiscences of Olga Taussky-Todd,
LAA 278 (1998), 15- 19. (#135 - plain text file)
-
Z-pencils (with J. J. McDonald, D.D. Olesky, M. J. Tsatsomeros,
P. van den Driessche), ELA 4, (1998), 32-38. (#136)
- Hermitian positive definite matrices whose entries
are 0 or 1 in modulus, (with D. Hershkowitz and M. Neumann)
LAMA 46 (1999), 259 - 264 (#137)
- Spectra of expansion graphs (with S. Friedland)
ELA 6 (1999/2000), 2 - 10 (#138 - ps file)
- The recursive inverse eigenvalue problem,
with M. Arav, D. Hershkowitz and V. Mehrmann SIMAX, 22 (2000),
392 - 412 . (#139 - ps file)
- Distribution of subdominant eigenvalues of random
matrices, (with G. Goldberg, P.Okunev and M. Neumann),
Method. and Comp. in App. Prob. 2 (2000), 137 - 151. (#140 - ps file)
- Linear equations over cones and Collatz-Wielandt
numbers (with B-S. Tam), LAA 363 (2003), 295 - 332 (#141 - ps file)
- Applications of Perron-Frobenius Theory to
Population Dynamics (with Chi-Kwong Li), J. Math.Biology, 44 (2002), 450 - 462.
(#142 - ps file)
- Introduction to a group of articles in tribute
to Vlastimil Ptak, LAA 310 (2000), 1 - 4 (Plain text file)
- Conditions for strict inequality in comparisons of
spectral radii
of splittings of different matrices (with L.Elsner, A. Frommer,
R. Nabben and D.B. Szyld), LAA 363 (2003), 65 - 80. (#143 - ps file)
- Open problems on GKK tau matrices
(with Olga Holtz) LAA 345 (2002), 263 - 267 (#144 - ps file)
- Orthogonality of matrices (with C.K.Li)
LAA 347 (2002), 115 - 122 (#145 - ps file)
- Induced norms, states, and numerical ranges,
(with C.K. Li and Ed Poon) Proc. American Math. Soc., 132, 1501 - 1506 (elec. 2003) (#151 - ps file)
- One sided simultaneous inequalities and sandwich theorems for diagonal
similarity and diagonal equivalence of nonnegative matrices,
(with D. Hershkowitz) (#146 - ps file), ELA 10 (2003), 81 - 101.
- Equilibria of pairs of nonlinear maps associated with cones,
(with G.P. Barker, M. Neumann-Coto, M. Takane and B.S. Tam), (#147 -ps file),
Int. Equ. Op. Th. 51 (2005), 357 - 373.
- Comparison theorems using general cones for norms of iteration
matrices with T.I.Seidman and M. Arav (#153 - pdf file), to appear in LAA. For slides of a
talk
on this topic I gave at the Maynooth conference on "Nonnegative matrices and applications" in July
2004, click slides .
- The spectral radius in partially ordered algebras with T.I.Seidman
LAA, to appear (#155 - pdf file).
- Applications of max algebra to diagonal scaling of matrices (with P.
Butkovic), ELA 13 (2005), 262 - 273 (#154 - pdf file).
- H. Schneider and B.S. Tam,
Matrices leaving a cone invariant,
in Handbook for Linear Algebra, ed. L. Hogben, Chapman & Hall (2006).
(#156 -pdf file).
- P. Butkovic, H.Schneider and S. Sergeev,
Generators, Extremals and Bases of Max Cones LAA 421 (2007), 394-406.
(#157 -pdf file)
For a few other papers, See my
Wielandt page.
Click here to return to my homepage.
Updated 5 October 2006