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Prof. RNDr. Miroslav Fiedler, DrSc.
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Research
associate:
Computational Methods
Kódování češtiny 
_____________________________________________________________________________________________________________
[Curricullum
vitae] [Education] [Honors, Awards] [Employment and Visits]
[Public service
activities] [Specialization] [Publications]
Education and titles:
- RNDr., Charles University,
Prague, 1950
- CSc., Mathematics Inst.
Acad., Prague, 1955
- DrSc., Czechoslovak Acad.
Sci., Prague, 1963
- Professor, Charles
University, Prague, 1965
- Corresp. Member, Czechoslovak
Acad. Sci., 1981
Employment and Visits:
- Mathematics Inst. Acad., Prague, 1952-1991, 1992 retired
- Inst. of Computer Science Acad., Prague, (partly employed), 1993-
- Visiting Research Mathematician, Caltech, Pasadena, 1964 (6 month)
- Visiting Professor, Auburn Univ., U. S. A., 1969-1970 (1 year), 1979-1980 (6 months)
- Visiting Professor, Univ. of S. Carolina, 1984 (4 1/2 months), 1987 (4 1/2 months)
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Honors, Awards : |
Honors, Awards:
- National Prize of the Czech Rep. (jointly with V. Pták). 1978
- Honorary member of the Union of Czechoslovak Mathematicians and Physicists, 1985
- B. Bolzano Gold Medal, Czechoslovak Acad. Sci., 1986
- Hans Schneider prize of ILAS, 1993
- De Scientia et Humanitate Optime Meritis, Academy of Sciences of the Czech Republic, 2006
Public service activities:
- Chairman of the Czechoslovak Committee for Mathematics, 1979-1991
- Chairman of the Czech Committee for Mathematics, 1994-1999
- Chief Editor, Czechoslovak Math. Journal
- Honorary Editor, Numerische Mathematik
- Distinguished Editor, Linear Algebra Appl.
- Editorial Boards (member):
- Householder (Gatlinburg) Symposia Steering Committee (member) 1967-1993
Areas of specialization:
linear algebra, numerical algebra, graph theory, Euclidean geometry
Publications: 4 books, about 190 research papers
· Books
· Articles
[B 1] Combinatorial Analysis in Practice (with K. Culík and V. Dolezal). (Czech.) SNTL, Praha 1967.
[B 2] Selected Problems of the Mathematical Olympiads (with J. Zemánek). (Czech.) SPN, Praha 1976.
[B 3] Special Matrices and Their Applications in Numerical Mathematics. (Czech.) SNTL, Praha 1981.
[B 4] Special Matrices and Their Applications in Numerical Mathematics. Martinus Nijhoff Publishers & SNTL, Dordrecht & Praha 1986.
[B 5] Special Matrices and Their Applications in Numerical Mathematics. Second Edition. Dover Publications, Inc., Mineola, U.S.A., 2008.
[B 6] Matrices and Graphs in Geometry. Cambridge University Press. To appear.
[1] Hyperosculating points of algebraic plane curves and their generalization in Sr . (Czech.)Thesis, Charles University, Praha 1950.
[2] Solution of a problem of Professor E. Cech. (Czech.) Cas. pest. mat. 77:65-75 (1952).
[3] On certain matrices and the equation for the parameters of singular points of a rational curve. (Czech.) Cas. pest. mat. 79:243-265, 321-346 (1952).
[4] Rational curves with the maximum number of real nodal points (with L. Granát). (Czech.) Cas. pest. mat. 79:157-161 (1954).
[5] Geometry of the simplex I. (Czech.) Cas. pest. mat. 79:270-297 (1954).
[6] Geometry of the simplex II. (Czech.) Cas. pest. mat. 80:462-476 (1955).
[7] Geometry of the simplex III. (Czech.) Cas. pest. mat. 81:182-223 (1956).
[8] Über das Gräffesche Verfahren. Czechoslovak Math. J. 5(80):506-516 (1955).
[9] Numerical solution of algebraic equations which have roots with almost the same modulus. (Czech.) Aplikace mat. 1:4-22 (1956).
[10] Über die Konvergenz des verallgemeinerten Seidelschen Verfahrens zur Lösung von Systemen linearer Gleichungen (with V. Pták).Math. Nachrichten 15:31-38 (1956).
[11] Numerical solution of algebraic equations by the Bernoulli-Whittaker method. (Czech.) Aplikace mat. 2:321-326 (1957).
[12] On some properties of Hermitian matrices. (Czech.) Mat.-fyz. casopis SAV 7:168-176 (1957).
[13] Über qualitative Winkeleigenschaften der Simplexe. Czechoslovak Math. J. 7(82):463 - 478 (1957).
[14] Einige Sätze aus der metrischen Geometrie der Simplexe in Euklidischen Räumen. In: Schriftenreihe d. Inst. f. Math. DAW, Heft 1, Berlin 1957, 157.
[15] On W-bases of directed graphs (with J. Sedlácek). (Czech.) Cas. pest. mat. 83:214 - 225 (1958).
[16] Die Graphentheorie in Anwendung auf das Transportproblem (with J. Bílý, F. Nozicka). Czechoslovak Math. J. 8(83):94 - 121 (1958).
[17] Über Systeme linearer Gleichungen vom Typ der Rahmentragwerke (with I. Babuška). Aplikace mat. 4:441 - 455 (1959).
[18] On an iterative method of diagonalization of symmetric matrices (with V. Pták). (Czech.) Cas. pest. mat. 85:18 - 36 (1960).
[19] A note on positive definite matrices. (Czech.) Cas. pest. mat. 85:75 -77 (1960).
[20] Some inequalities for the spectrum of a matrix (with V. Pták). Mat.-fyz. casopis SAV 10:148 - 166 (1960).
[21] Some estimates of spectra of matrices. In: Symp. PICC, Roma 1960, 33 - 36.
[22] On a criterion in the theory of the transportation problem (with F. Nozicka). (Russian.) Czechoslovak Math. J. 11(86):204 - 212 (1961).
[23] Über eine Ungleichung für positiv definite Matrizen. Math. Nachrichten 23:197 - 199 (1961).
[24] Über die qualitative Lage des Mittelpunktes der umgeschriebenen Hyperkugel im n-Simplex. CMUC 2,1:3 - 51 (1961).
[25] Über zyklische n-Simplexe und konjugierte Raumvielecke. CMUC 2,2:3 - 26 (1961).
[26] On matrices with non-positive off-diagonal elements and positive principal minors (with V. Pták). Czechoslovak Math. J. 12(87):382 - 400 (1962).
[27] Generalized norms of matrices and the location of the spectrum (with V. Pták). Czechoslovak Math. J. 12(87):558 - 571 (1962).
[28] Relations between the diagonal entries of an M-matrix and of its inverse. Mat.-fyz. casopis SAV 12:123 - 128 (1962).
[29] Sur la meilleure approximation des transformations linéaires par des transformations de rang préscrit (with V. Pták). C.R. Acad. Sci. 254:3805 - 3807 (1962).
[30] On a generalized Graeffe method and its modification. (Czech.) Cas. pest. mat. 88:194 - 199 (1963).
[31] On inverting partitioned matrices. Czechoslovak Math. J. 13(88):574 - 586 (1963).
[32] A note on Lin's method. (Russian.) Cas. pest. mat. 88:438 - 443 (1963).
[33] On aggregation in matrix theory and its application to numerical inverting of large matrices (with V. Pták). Bull. Acad. Polon., ser. math., astr. et phys. 11:757 - 759 (1963).
[34] Estimates and iterative methods for finding a simple eigenvalue of an almost reducible matrix (with V. Pták). (Russian.) DAN SSSR 151:790 - 792 (1963).
[35] Relations between the diagonal elements of two mutually inverse positive definite matrices. Czechoslovak Math. J. 14(89):39 - 51 (1964).
[36] Estimates and iteration procedures for proper values of almost decomposable matrices (with V. Pták). Czechoslovak Math. J. 14(89):593 - 608 (1964).
[37] Hankel matrices and 2-apolarity. Notices AMS 11:367 - 368 (1964).
[38] 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.
[39] Optimierungsprobleme in den Transportnetzen. In: Mathematik und Kybernetik in der Ökonomie, DAW, Berlin 1964, II, 259 - 263.
[40] Transportation problems in networks with constraints. (Czech.) Ekon.- mat. obzor 1:47 -58 (1965).
[41] Some estimates of the proper values of matrices. Journal SIAM 13:1 - 5 (1965).
[42] Some remarks on numerical solution of linear problems. Aplikace mat. 10:190 - 193 (1965).
[43] Some results on matrices of class K and their application to the convergence rate of iteration procedures (with V. Pták). Czechoslovak Math. J. 16(91):260 - 273 (1966).
[44] Matrix inequalities. Num. Math. 9:109 - 119 (1966).
[45] Some generalizations of positive definiteness and monotonicity (with V. Pták). Num. Math. 9:163 - 172 (1966).
[46] Diagonally dominant matrices (with V. Pták). Czechoslovak Math. J. 17(92):420 - 433 (1967).
[47] Graphs and linear algebra. In: Proc. Symp. ICC, Roma 1967, 131 - 134.
[48] Metric problems in the space of matrices. In: Programmation en mathématiques numérique. Proc. Symp. CNRS. Paris 1968, 93 - 103.
[49] A characterization of tridiagonal matrices. Linear Algebra Appl. 2:191 - 197 (1969).
[50] Cyclic products and an inequality for determinants (with V. Pták). Czechoslovak Math.J. 19(94):428 - 451 (1969).
[51] Signed distance graphs. J. Comb. Theory Appl. 7:136 - 149 (1969).
[52] On some classes of matrices. Notices AMS 17:412 (1970).
[53] A note on distance graphs. (Czech.) In:Matematika (geometrie a teorie grafu). Sb.ped.fak. UK, 1970, 85 - 88.
[54] Bounds for the determinant of the sum of hermitian matrices. Proc. AMS 30:27 - 31 (1971).
[55] Bounds for eigenvalues of doubly stochastic matrices. Linear Algebra Appl. 5:299 - 310 (1972).
[56] Estimates in numerical algebra. (Czech.) In :Algoritmy vo výpoctovej technike, SVTS. Bratislava 1972, 32 - 41.
[57] Some applications of graphs, matrices and geometry. In: Proc. Swedish - Czechoslovak Seminar on Appl. Mathematics, IVA. Stockholm 1973, 28 - 36.
[58] A quantitative extension of the Perron-Frobenius theorem. Lin. Multilin. Algebra 1:81 - 88 (1973).
[59] Cones which are topheavy with respect to a norm (with E. V. Haynsworth). Lin. Multilin. Algebra 1:203 - 211 (1973).
[60] Algebraic connectivity of graphs. Czechoslovak Math. J. 23(98):298 - 305 (1973).
[61] Additive compound matrices and an inequality for eigenvalues of symmetric stochastic matrices. Czechoslovak Math. J. 24(99):392 - 402 (1974).
[62] Polyhedral cones and positive operators (with F. Burns and E. V. Haynsworth). Linear Algebra Appl. 8:547 - 559 (1974).
[63] Eigenvalues of nonnegative symmetric matrices. Linear Algebra Appl. 9:119 - 142 (1974).
[64] Positivity with respect to the round cone. Mat. casopis 24:155 - 159 (1974).
[65] Some results on eigenvalues of nonnegative matrices. Acta Mathematica Univ. Carol. Pragensis
[66] Some problems of numerical algebra. (Czech.) In: Algoritmy vo výpoctovej technike, SVTS. Bratislava 1974, 58 - 65.
[67] On a theorem by A. Horn. In: Mathematical Structures, Computational Mathematics, Mathematical Modelling, Sofia 1975, 251 - 255.
[68] Algebraic approach to connectivity of graphs. In: Recent Advances in Graph Theory. Academia, Praha 1975, 193 - 196.
[69] Algebraische Zusammenhangszahl und ihre numerische Bedeutung. In: ISNM 29, Birkhäuser, Basel 1975, 69 - 85.
[70] A minimaximin formula and its application to doubly stochastic matrices. Mat. casopis 25:139 - 144 (1975).
[71] A quantitative extension of the Perron - Frobenius theorem for doubly stochastic matrices (with V. Pták). Czechoslovak Math. J. 25(100):339 - 353 (1975).
[72] Eigenvectors of acyclic matrices. Czechoslovak Math. J. 25(100):607 - 618 (1975).
[73] A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czechoslovak Math. J. 25(100):619 - 633 (1975).
[74] Spectral properties of some classes of matrices. Chalmers Univ. Rep., Dept. Comp. Sci. Göteborg 1975.
[75] Extreme operators on polyhedral cones (with E.V. Haynsworth and V. Pták) . Linear Algebra Appl. 13:163 - 172 (1976).
[76] Inversion of bigraphs and connections with the Gauss elimination. In: Graphs, Hypergraphs and Block Systems. Zielona Góra 1976, 57 - 68.
[77] An application of graphs to the Gauss method. (Russian.) In: Zap. nauc. sem. LOMI 58. Leningrad 1976, 72 - 79.
[78] Some connections between graph theory and numerical mathematics. (Czech.) In: Numerické metódy a teória grafov, SVTS. Košice 1976, 1 - 14.
[79] Aggregation in graphs. In: Coll. Math. Soc. J. Bolyai, 18. Combinatorics. Keszthely 1976, 315 - 330.
[80] A note on nonnegative matrices. Math. Slovaca 27:33 - 36 (1977).
[81] Isodynamic systems in Euclidean spaces and an n-dimensional analogue of a theorem by Pompeiu. Cas. pest. mat. 102:370 - 381 (1977).
[82] Some combinatorial aspects in matrix theory and numerical algebra. In: Coll. Math. Soc. J. Bolyai, 22. Numerical Methods. Keszthely 1977, 185 - 201.
[83] Numerical methods of linear algebra, in particular for sparse linear systems (with O. Pokorná). In: Pouzití metody konecných prvku a konecných diferencí v geofyzice, GFÚ CSAV, Praha 1978, 257 - 278.
[84] Optimierung und Graphentheorie. In: Fortschritte in der mathematischen Optimierung, Seminarbericht Nr.15, Sekt. Math. Humboldt Univ., Berlin 1978, 31 - 37.
[85] Diagonals of convex sets (with V. Pták). Czechoslovak Math. J. 28(103):25 - 44 (1978).
[86] The rank of extreme positive operators on polyhedral cones (with V. Pták). Czechoslovak Math. J. 28(103):45 - 55 (1978).
[87] Minimal sets of vectors which generate Rn with excess k. Czechoslovak Math. J. 29(104):187 - 191 (1979).
[88] Irreducibility of compound matrices. CMUC 20:737 - 743 (1979).
[89] Deflation of tridiagonal matrices. In: Algorithms '79, CSVTS. Bratislava 1979, 25 - 29.
[90] Tridiagonal matrices and nc-positivity. Abstracts AMS 1:38 (1980).
[91] A deflation formula for tridiagonal matrices. Aplikace mat. 25:348 - 357 (1980).
[92] Irreducibility of associated matrices (with R. Merris). Linear Algebra Appl. 37:1-10 (1981).
[93] Minimal polynomial and the rank of principal submatrices of a matrix. Lin. Multilin. Algebra 10:85 - 88 (1981).
[94] Geometry of the numerical range of matrices. Linear Algebra Appl. 37:81 - 96 (1981).
[95] Remarks on the Schur complement. Linear Algebra Appl. 39:189 - 196 (1981).
[96] Characterizations of sign-patterns of inverse-positive matrices (with R. Grone). Linear Algebra Appl. 40:237 - 245 (1981).
[97] Invariant resistive networks in Euclidean spaces and their relation to geometry. Aplikace mat. 27:128 - 145 (1982).
[98] Combinatorial aspects in linear and numerical algebra. (Czech.) In: Numerická matematika a teória grafov. Štrbské Pleso 1982, 10 - 15.
[99]
Combinatorial properties of sign-patterns in some classes of matrices. In: Graph
Theory, Lagów 1981. Springer 1983, 28 - 32.
[100] Löwnersche Matrizen und rationale interpolation. In: Numerische Mathematik und ihre Anwendungen, Halle/Saale 1982. Nova Acta Leopoldina.
[101] Rational interpolation. (Czech.) In: Algoritmy 1983. JSMF 1983, 69 - 75.
[102] Analytic functions of M-matrices (with H. Schneider). Lin. Multilin. Algebra 13:185 - 201 (1983).
[103] A note on the Hadamard product of matrices. Linear Algebra Appl. 49:233 - 235 (1983).
[104] Classes of products of M-matrices and inverse M-matrices (with T.L. Markham, M. Neumann). Linear Algebra Appl. 52/53:265 - 287 (1983).
[105] S-matrices. Linear Algebra Appl. 57:157 - 167 (1984).
[106] Hankel and Loewner matrices. Linear Algebra Appl. 58:75 - 95 (1984).
[107] Binomial matrices. Math.Slovaca 34:229 - 237 (1984).
[108] On a conjecture of P. R. Vein and its generalization. Lin. Multilin. Algebra 16:147 - 154 (1984).
[109] Quasidirect decompositions of Hankel and Toeplitz matrices. Linear Algebra Appl. 61:155 - 174 (1984).
[110] Polynomials and Hankel matrices. Linear Algebra Appl. 66:235 - 248 (1985).
[111] A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix (with C. R. Johnson, T.L. Markham, M. Neumann). Linear Algebra Appl. 71:81 - 94 (1985).
[112] Signed graphs and monotone matrices. In: Graphs, Hypergraphs and Applications, Eyba 1984. Teubner 1985, 36 - 40.
[113] Some applications of graph theory in numerical mathematics. In: Zb. predn. l. š. z num. mat. a t. grafov. Štrbské Pleso 1986, 4 - 12.
[114] Completing a matrix when certain entries of its inverse are specified (with T.L. Markham). Linear Algebra Appl. 74:225 - 237 (1986).
[115] Some numerical aspects of Loewner matrices. In: Numerical Methods, Coll. Soc. J. Bolyai 50. N. Holland 1987, 160 - 184.
[116] Rank - preserving diagonal completions of a matrix (with T.L. Markham). Linear Algebra Appl. 85:49 - 56 (1987).
[117] Bézoutians and intertwining matrices (with V. Pták). Linear Algebra Appl. 86:43 -51 (1987).
[118] Intertwining and testing matrices corresponding to a polynomial (with V. Pták). Linear Algebra Appl. 86:53 - 74 (1987).
[119] Notes on inverse M-matrices (with C. R. Johnson and T.L. Markham). Linear Algebra Appl. 91: 75 -81 (1987).
[120] An inequality for the Hadamard product of an M-matrix and an inverse M-matrix (with T.L. Markham). Linear Algebra Appl. 101:1-8 (1988).
[121] Loewner and Bézout matrices (with V. Pták). Linear Algebra Appl. 101:187 -220 (1988).
[122] Bézout, Hankel and Loewner matrices. Linear Algebra Appl. 104:185-193 (1988).
[123] Characterizations of Bézout and Hankel-Bézout matrices. Linear Algebra Appl. 105:77-89 (1988).
[124] On the range of the Hadamard product of a positive definite matrix and its inverse (with T.L. Markham). SIAM J. on Matrix Theory and Appl. 9:343-347 (1988).
[125] A characterization of the closure of inverse M-matrices (with T. L. Markham). Linear Algebra Appl. 105:209-223 (1988).
[126] Characterizations of MMA-matrices. Linear Algebra Appl. 106:233-244 (1988).
[127] Doubly stochastic matrices and optimization. In: Advances in Mathematical Optimization (J. Guddat et al., Editors), Math. Res. vol. 45, AW Berlin 1988, 44-51.
[128] Laplacian of graphs and algebraic connectivity. In: Combinatorics and Graph Theory, Banach Center Publ. vol. 25, PWN, Warszawa 1989, 57-70.
[129] Some connections between the Drazin inverse, P-matrices and the closure of inverse M-matrices (with T.L. Markham). Linear Algebra Appl. 132:163-172 (1990).
[130] Absolute algebraic connectivity of trees. Lin. Multilin. Algebra 26:85-106 (1990).
[131] A minimax problem for graphs and its relation to generalized doubly stochastic matrices. Lin. Multilin. Algebra 27:1-23 (1990).
[132] Pencils of real symmetric matrices and real algebraic curves. Linear Algebra Appl. 141:53-60 (1990).
[133] Expressing a polynomial as characteristic polynomial of a symmetric matrix. Linear Algebra Appl. 141:265-270 (1990).
[134] A symmetric companion matrix of a polynomial (with Z. Vavrín). In: Coll. Math. Soc. J. Bolyai vol. 59 (1990), 9-16.
[135] A subclass of symmetric Loewner matrices (with Z. Vavrín). Linear Algebra Appl. 170:47-51 (1992).
[136] A classification of matrices of class Z (with T.L. Markham). Linear Algebra Appl. 173:115-124 (1992).
[137] An extremal problem for the spectral radius of a graph. Discrete Math. 108:149-158 (1992).
[138] Structure ranks of matrices. Linear Algebra Appl. 179:119-128 (1993).
[139] A characterization of the Moore-Penrose inverse (with T.L. Markham). Linear Algebra Appl. 179:129-134 (1993).
[140] Polynomials compatible with a symmetric Loewner matrix (with Z. Vavrín). Linear Algebra Appl. 190:235-251 (1993).
[141] Quasidirect addition of matrices and generalized inverses (with T.L. Markham). Linear Algebra Appl. 191:165-182 (1993).
[142] Some minimax problems for graphs. Discrete Mathematics 121:65-74 (1993).
[143] Remarks on eigenvalues of Hankel matrices. IMA Preprint Series, # 903. Minneapolis 1992.
[144] 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.
[145] Elliptic matrices with zero diagonal. Linear Algebra Appl. 197,198:337-347(1994).
[146] On a theorem of Everitt, Thompson and de Pillis (with T.L. Markham). Math. Slovaca 44:441-444 (1994).
[147] An estimate for the non-stochastic eigenvalues of doubly stochastic matrices. Linear Algebra Appl. 214:133-143 (1995).
[148] An observation on the Hadamard product of Hermitian matrices (with T.L. Markham). Linear Algebra Appl. 215:179-182 (1995).
[149] Numerical range of matrices and Levinger's theorem. Linear Algebra Appl. . 220:171-180(1995).
[150] On a special type of generalized doubly stochastic matrices and its relation to Bézier polygons. SIAM J. Matrix Anal. Appl. 16 (1995), 735-742.
[151] Moore - Penrose involutions in the classes of Laplacians and simplices.Lin. Multilin. Algebra 39 (1995), 171-178.
[152] A note on the row-rhomboidal form of a matrix. Linear Algebra Appl. . 232:149-154(1996).
[153] Some results on the Bergström and Minkowski inequalities (with T.L. Markham). Linear Algebra Appl. . 232:199-212(1996).
[154] Some inequalities for the Hadamard product of matrices (with T.L. Markham). Linear Algebra Appl. 246:13-16(1996).
[155] Diagonal blocks of two mutually inverse positive definite matrices (with V. Pták), Czechoslovak Math. J. 47 (1997), 127 - 134.
[156] A new geometric mean of two positive definite matrices (with V. Pták), Linear Algebra Appl. 251 (1997), 1 - 20.
[157] Some inverse problems for acyclic matrices. Linear Algebra Appl. 253 (1997), 113 - 123.
[158] Strong majorization for hermitian matrices (with V. Pták), Linear Algebra Appl. 255 (1997), 281 - 301.
[159] Block analogies of comparison matrices (with V. Pták), Linear Algebra Appl. 256 (1997), 95-108.
[160] Consecutive-column and -row properties of matrices and the Loewner-Neville factorization (with T.L. Markham), Linear Algebra Appl. 266 (1997), 243-259.
[161] Some characterizations of symmetric inverse M-matrices. Linear Algebra Appl. 275-276 (1998), 179-187.
[162] Additive compound graphs. Discrete Mathematics 187 (1998), 97-108.
[163] Some inequalities related to M-matrices (with V. Pták), Math. Inequalities Appl. 1 (1998), 171-176.
[164] Ultrametric sets in Euclidean point spaces, Electronic J. of Linear Algebra 3(1998), 23-30.
[165] A factorization of totally nonsingular matrices over a ring with identity (with T.L. Markham), Linear Algebra Appl. 304 (2000), 161 - 171.
[166] Generalized totally positive matrices (with T.L. Markham), Linear Algebra Appl. 306 (2000), 87 - 102.
[167] Special ultrametric matrices and graphs, SIAM J. Matrix Anal. Appl. 22 (2001), 106 - 113.
[168] Some inverse problems for elliptic matrices with zero diagonal, Linear Algebra Appl. 332-334 (2001), 197 - 204.
[169] Spectral properties of real Hankel matrices. In: Structured Matrices in Mathematics, Computer Science, and Engineering vol. 1, V. Olshevsky (Ed.), AMS, Contemporary Mathematics 280 (2001), 313 - 320.
[170] A numerical approach to long cycles in graphs and digraphs, Discrete Mathematics 235 (2001), 233 - 236.
[171] Remarks on Monge matrices, Mathematica Bohemica 127 (2002), 27 - 32.
[172] Equilibrated anti-Monge matrices. Linear Algebra Appl. 335 (2001), 151 - 156.
[173] Matice a grafy v euklidovské geometrii. Dimatia, Praha 2001.
[174] Generalized totally nonnegative matrices (with T.L. Markham). Linear Algebra Appl. 345 (2002), 9 - 28.
[175] Generalized oscillatory matrices. (with Shaun Fallat and T.L. Markham), Linear Algebra Appl. 359 (2003), 79 - 90.
[176] Moore - Penrose biorthogonal systems in Euclidean spaces. Linear Algebra Appl. 362 (2003), 137 - 143.
[177] Remarks on the Sherman-Morrison-Woodbury formulae. Mathematica Bohemica 128 (2003), 253 - 262.
[178] A note on companion matrices. Linear Algebra Appl. 372 (2003), 325 - 331.
[179] Basic matrices. Linear Algebra Appl. 373 (2003), 143 - 151.
[180] Generalized Hessenberg matrices. (with Z. Vavřín), Linear Algebra Appl. 380 (2004), 95 - 105.
[181] Complementary basic matrices. Linear Algebra Appl. 384 (2004), 199 - 206.
[182] Two results on basic oscillatory matrices (with T.L. Markham). Linear Algebra Appl. 389 (2004), 175 - 181.
[183] Inversion of e-simple block matrices. Linear Algebra Appl. 400 (2005), 231-241.
[184] Matrices and graphs in Euclidean geometry. Electronic J. Linear Algebra 14 (2005), 51-58.
[185] Geometry of the Laplacian. Linear Algebra Appl. 403 (2005), 409-413.
[186] A note on sign-nonsingular matrices. Linear Algebra Appl. 408 (2005), 14-18.
[187] Subtotally positive and Monge matrices. Linear Algebra Appl. 413 (2006), 177-188.1
[188] Two isoperimetric problems for Euclidean simplices. In: Topics in Discrete Mathematics (M. Klazar, J. Kratochvíl, M. Loebl, J. Matouąek, R. Thomas, P. Valtr, Editors). Algorithms and Combinatorics 26, Springer 2006, 65 - 69.
[189] Some Applications of Matrices and Graphs in Euclidean Geometry. In: Handbook of Linear Algebra (L. Hogben, Editor), Chapman & Hall/CRC, Boca Raton, London, New York, 2006, Chapter 66.
[190] Reminiscences related to graph theory. Computer Science Review 1 (2007), 65 - 66.
[191] Intrinsic products and factorizations of matrices. Linear Algebra Appl. 428 (2008), 5 - 13.
[192] The development of linear algebra in Czechia. Image 41 (2008), 18 - 20.
[193] Suborthogonality and orthocentricity of matrices. Linear Algebra Appl. 430 (2009), 296 - 307.
[194] Notes on the Hilbert and Cauchy matrices. Linear Algebra Appl. 432 (2010), 351 - 356.
[195] Spectral radius and Hamiltonicity of graphs. (with V. Nikiforov), Linear Algebra Appl. 432 (2010), 2170 - 2173.
[196] Some inheritance properties for complementary basic matrices. (with F. Hall), Linear Algebra Appl. 433 (2010), 2060 - 2069.
[197] Dominant matrices and max algebra. Submitted.
[Curricullum
vitae] [Education]
[Honors_Awards] [Employment and
Visits] [Public
service activities]
[Specialization] [Publications]
16/1/2002/dana
