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Miroslav Fiedler

doi:10.1017/CBO9780511973611.009

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Published online by Cambridge University Press: 05 June 2013

Miroslav Fiedler

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Miroslav Fiedler: Affiliation:
Academy of Sciences of the Czech Republic, Prague

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Type: Chapter
Information: Matrices and Graphs in Geometry , pp. 193 - 194

DOI: https://doi.org/10.1017/CBO9780511973611.009 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2011

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References

[1] L.M., Blumenthal: Theory and Applications of Distance Geometry. Oxford, Clarendon Press, 1953.Google Scholar

[2] E., Egerváry: On orthocentric simplexes. Acta Math. Szeged IX (1940), 218–226.Google Scholar

[3] M., Fiedler: Geometrie simplexu I. Časopis pěst. mat. 79 (1954), 270–297.Google Scholar

[4] M., Fiedler: Geometrie simplexu II. Časopis pěst. mat. 80 (1955), 462–476.Google Scholar

[5] M., Fiedler: Geometrie simplexu III. Časopis pěst. mat. 81 (1956), 182–223.Google Scholar

[6] M., Fiedler: Über qualitative Winkeleigenschaften der Simplexe. Czechosl. Math. J. 7(82) (1957), 463–478.Google Scholar

[7] M., Fiedler: Einige Sätze aus der metrischen Geometrie der Simplexe in Euklidischen Räumen. In: Schriftenreihe d. Inst. f. Math. DAW, Heft 1, Berlin (1957), 157.Google Scholar

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[9] M., Fiedler: Über eine Ungleichung für positive definite Matrizen. Mathematische Nachrichten 23 (1961), 197–199.Google Scholar

[10] M., Fiedler: Über die qualitative Lage des Mittelpunktes der umgeschriebenen Hyperkugel im n-Simplex. Comm. Math. Univ. Carol. 2(1) (1961), 3–51.Google Scholar

[11] M., Fiedler: Über zyklische n-Simplexe und konjugierte Raumvielecke. Comm. Math. Univ. Carol. 2(2) (1961), 3–26.Google Scholar

[12] M., Fiedler, V., Pták: On matrices with non-positive off-diagonal elements and positive principal minors. Czechosl. Math. J. 12(87) (1962), 382–400.Google Scholar

[13] M., Fiedler: Hankel matrices and 2-apolarity. Notices AMS 11 (1964), 367–368.Google Scholar

[14] M., Fiedler: Relations between the diagonal elements of two mutually inverse positive definite matrices. Czechosl. Math. J. 14(89) (1964), 39–51.Google Scholar

[15] M., Fiedler: Some applications of the theory of graphs in the matrix theory and geometry. In: Theory of Graphs and Its Applications. Proc. Symp. Smolenice 1963, Academia, Praha (1964), 37–41.Google Scholar

[16] M., Fiedler: Matrix inequalities. Numer. Math. 9 (1966), 109–119.Google Scholar

[17] M., Fiedler: Algebraic connectivity of graphs. Czechosl. Math. J. 23(98) (1973), 298–305.Google Scholar

[18] M., Fiedler: Eigenvectors of acyclic matrices. Czechosl. Math. J. 25(100) (1975), 607–618.Google Scholar

[19] M., Fiedler: A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czechosl. Math. J. 25(100) (1975), 619–633.Google Scholar

[20] M., Fiedler: Aggregation in graphs. In: Coll. Math. Soc. J. Bolyai, 18. Combinatorics. Keszthely (1976), 315–330.Google Scholar

[21] M., Fiedler: Laplacian of graphs and algebraic connectivity. In: Combinatorics and Graph Theory, Banach Center Publ. vol. 25, PWN, Warszava (1989), 57–70.Google Scholar

[22] M., Fiedler: A geometric approach to the Laplacian matrix of a graph. In: Combinatorial and Graph-Theoretical Problems in Linear Algebra (R. A., Brualdi, S., Friedland, V., Klee, editors), Springer, New York (1993), 73–98.Google Scholar

[23] M., Fiedler: Structure ranks of matrices. Linear Algebra Appl. 179 (1993), 119–128.Google Scholar

[24] M., Fiedler: Elliptic matrices with zero diagonal. Linear Algebra Appl. 197, 198 (1994), 337–347.Google Scholar

[25] M., Fiedler: Moore–Penrose involutions in the classes of Laplacians and simplices. Linear Multilin. Algebra 39 (1995), 171–178.Google Scholar

[26] M., Fiedler: Some characterizations of symmetric inverse M-matrices. Linear Algebra Appl. 275–276 (1998), 179–187.Google Scholar

[27] M., Fiedler: Moore-Penrose biorthogonal systems in Euclidean spaces. Linear Algebra Appl. 362 (2003), 137–143.Google Scholar

[28] M., Fiedler: Special Matrices and Their Applications in Numerical Mathematics, 2nd edn, Dover Publ., Mineola, NY (2008).Google Scholar

[29] M., Fiedler, T. L., Markham: Rank-preserving diagonal completions of a matrix. Linear Algebra Appl. 85 (1987), 49–56.Google Scholar

[30] M., Fiedler, T. L., Markham: A characterization of the Moore–Penrose inverse. Linear Algebra Appl. 179 (1993), 129–134.Google Scholar

[31] R. A., Horn, C. A., Johnson: Matrix Analysis, Cambridge University Press, New York, NY (1985).Google Scholar

[32] D. J. H., Moore: A geometric theory for electrical networks. Ph.D. Thesis, Monash. Univ., Australia (1968).

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