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  4. Application of the theory of majorization for investigation of the spectrum of the matrix in the equalization calculations

Application of the theory of majorization for investigation of the spectrum of the matrix in the equalization calculations

ISTCGCAP.
1987;
Volume 45, Number 45
: 10-16
Authors:
  1. M. D. Gerasimenko
1
Eastern Federal University

1. Gantmaher F.R. Teorija matric. M., 1967.

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4. Trenkov I. V#rhu harakteristichnite chisla na korelacionnata matric na izravnenite nabljudenija i korellactonata matrica na izravnenite nabljudenija i neizvestnite// Izv. na centr. lab. po geodezija. 1974. Kn. 14. S. 45-50.

5. Thompson R.C. Principal submatrices IX: Interlacing inequalities for singular valuer of submatrices//Linear Algebra and its Applications. 1972. V. 5. N 1. P. 1-12.

6. Thompson R.C., Freede L.J. On the eigen values of sums of Hermitian matrices// Linear Algebra and its Applications. 1971. V. 4. P. 369-376.

7. Thompson R.C., Therianos S. The eigenvalues of complenementary principal submatrices of a positive definiti matrix//Canadian Journal of mathematics. 1972. V. 24. P.658-667.

8. Trencov I. A study of the spectrum of the matrices at an adjustment by the method of the least squares and its evolution//Results of the scientific cooperation between the Central laboratory of  geodesy of the Bulgarian Academy of Sciences in Sofia and the Geodetic and Geophysical reseach Institut of the Hungerian Academy of Sciences in Sopron. Sopron.1976. P. 11-60.

9.  Trencov I. une propriete du nombre de Todd des matrices normales obtenues en compensation par la methode des moindres carres//Bulletin geodesique. 1973. N 107. P.85-88.