Nearly principal minors of M -matrices

Gerard Sierksma; Evert Jan Bakker

Compositio Mathematica (1986)

  • Volume: 59, Issue: 1, page 73-79
  • ISSN: 0010-437X

How to cite


Sierksma, Gerard, and Bakker, Evert Jan. "Nearly principal minors of $M$-matrices." Compositio Mathematica 59.1 (1986): 73-79. <>.

author = {Sierksma, Gerard, Bakker, Evert Jan},
journal = {Compositio Mathematica},
keywords = {irreducible nonsingular M-matrix; nearly principal minors; Perron- Frobenius eigenvalue; Metzler's theorem},
language = {eng},
number = {1},
pages = {73-79},
publisher = {Martinus Nijhoff Publishers},
title = {Nearly principal minors of $M$-matrices},
url = {},
volume = {59},
year = {1986},

AU - Sierksma, Gerard
AU - Bakker, Evert Jan
TI - Nearly principal minors of $M$-matrices
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 59
IS - 1
SP - 73
EP - 79
LA - eng
KW - irreducible nonsingular M-matrix; nearly principal minors; Perron- Frobenius eigenvalue; Metzler's theorem
UR -
ER -


  1. [1] F. Ayres, JR.: Matrices, Schaum's Outlines Series. New York (1962). 
  2. [2] A. Berman and R.J. Plemmons: Nonnegative Matrices in the Mathematical Sciences. Academic, New York (1979). Zbl0484.15016MR544666
  3. [3] B.B. Murphy: On the inverses of M-matrices, Proc. Amer. Math. Soc.,62 (1977) 196-198. Zbl0322.15010MR429944
  4. [4] A. Takayama: Mathematical Economics, Dryden, Hinsdale, Illinois (1974). Zbl0313.90008
  5. [5] E. Seneta: Non-negative Matrices and Markov Chains, 2nd Ed., New York: Springer Verlag (1980). Zbl0471.60001MR2209438
  6. [6] G. Sierksma: Non-negative matrices; the open Leontief Model. Linear Algebra and its Appl., 26 (1979) 175-201. Zbl0409.90027MR535685

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