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Full-Text Articles in Physical Sciences and Mathematics
Combinatorics And Diagonals Of Matrices., K. Balasubramanian Dr.
Combinatorics And Diagonals Of Matrices., K. Balasubramanian Dr.
Doctoral Theses
This theale maindy desie with conbinatoriel aspocte of diayonale of natelees. or enurne, there are aleo eosulte which are nat sunbinatorial in naturos but thase ara neroly by-producta. Chapter-0 gives e very short nary ot the cnntenta of the theete. The raeulte aro ofr tuo kinde. (1) complately rev and (2) old results through rew rethude.Thịa thasle, wholly or pertly, has not baon subnittad to any othor Univerdity or Inatitute for e degree.I exprees hoceby ry doopost sonse of grotitude to br. KA. PARTHASARATHY, Haed of the Doparteant af Mathemties, Indian Inatituta of Tochmlogy, Redras, under uhana bonign guidance thie …
Estimation Of Spectral Variation., Rajendra Bhatia Dr.
Estimation Of Spectral Variation., Rajendra Bhatia Dr.
Doctoral Theses
The study of spectra occupies a central place in the theory of linear operators. One part of this study consists of obtaining a detailed and complete knowledge of the spectrum of a given lincar operator. The other part - perturbation theory - consists of using this knowledge to obtain information about the spectra of nearby operators.Apart from the intrinsic mathematical interest it has, perturbation theory is of great importance in the study of several physical problems. In fact, the theory came into existence with the work of Rayleigh on sound waves and that of Schrodinger on quantum mechanics. Later, their …