×

zbMATH — the first resource for mathematics

Inequalities for M-matrices. (English) Zbl 0452.15020

MSC:
15B48 Positive matrices and their generalizations; cones of matrices
15A39 Linear inequalities of matrices
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Ando T., Linear Alg. Appl. 26 pp 203– (1979) · Zbl 0495.15018 · doi:10.1016/0024-3795(79)90179-4
[2] Crabtree D. E., Duke Math. J. 33 pp 179– (1966) · Zbl 0142.27101 · doi:10.1215/S0012-7094-66-03324-2
[3] Crabtree D.E., Proc. Amer. Math. Soc. 22 pp 364– (1969) · doi:10.1090/S0002-9939-1969-0255573-1
[4] Cottle R.W., Lecture Notes in Math. pp 477– (1975)
[5] Donogue W., Monotone Matrix Functions and Analytic Continuations (1974) · doi:10.1007/978-3-642-65755-9
[6] Fan K., Monat. Math. 62 pp 219– (1958) · Zbl 0081.25104 · doi:10.1007/BF01303967
[7] Fan K., Quart. J. Math. 11 (2) pp 43– (1960) · Zbl 0104.01203 · doi:10.1093/qmath/11.1.43
[8] Fan K., Indagations Math. 67 (2) pp 602– (1964) · doi:10.1016/S1385-7258(64)50067-0
[9] Fan K., in Inequalities (1967)
[10] Fiedler M., Czechoslovak Math. J. 12 pp 382– (1962) · doi:10.1007/BF01696240
[11] Glazman I.M., Finite Dimensional Linear Analysis (English translation) (1974)
[12] Kaneko I., Linear Alg. Appl. 20 pp 111– (1978) · Zbl 0382.15011 · doi:10.1016/0024-3795(78)90045-9
[13] Kendall D.G., in Probability and Statistics (1959) · Zbl 0117.35801
[14] Lynn M.S., Proc. Camb. Phil. Soc. 60 pp 425– (1964) · doi:10.1017/S0305004100037932
[15] Marcus M., A Survey of Matrix Theory and Matrix Inequalities (1964) · Zbl 0126.02404
[16] Ostrowski A., Comment.Math. Helv. 10 pp 69– (1937) · Zbl 0017.29010 · doi:10.1007/BF01214284
[17] Ostrowski A., Comment. Math. Helv. 30 pp 175– (1956) · Zbl 0072.13803 · doi:10.1007/BF02564340
[18] Plemmons R.J., Non-singular M-matrices, Linear Alg.Appl. 18 pp 175– (1977) · Zbl 0359.15005 · doi:10.1016/0024-3795(77)90073-8
[19] Poole G., SI AM Review 16 pp 419– (1974) · Zbl 0292.15009 · doi:10.1137/1016079
[20] Schaefer H.H., Banach Lattices and Positive Operators (1974) · Zbl 0296.47023 · doi:10.1007/978-3-642-65970-6
[21] Varga R., Matrix Iterative Analysis (1962) · Zbl 0133.08602
[22] Watford L.J., Linear Alg. Appl. 5 pp 247– (1972) · Zbl 0254.15014 · doi:10.1016/0024-3795(72)90006-7
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.