International Journal of Management and Applied Science (IJMAS)
current issues
Volume-4,Issue-8  ( Aug, 2018 )
Past issues
  1. Volume-4,Issue-8  ( Aug, 2018 )
  2. Volume-4,Issue-7  ( Jul, 2018 )
  3. Volume-4,Issue-6  ( Jun, 2018 )
  4. Volume-4,Issue-5  ( May, 2018 )
  5. Volume-4,Issue-4  ( Apr, 2018 )
  6. Volume-4,Issue-3  ( Mar, 2018 )
  7. Volume-4,Issue-2  ( Feb, 2018 )
  8. Volume-4,Issue-1  ( Jan, 2018 )
  9. Volume-3,Issue-12  ( Dec, 2017 )
  10. Volume-3,Issue-11  ( Nov, 2017 )

Statistics report
Nov. 2018
Submitted Papers : 80
Accepted Papers : 10
Rejected Papers : 70
Acc. Perc : 12%
Issue Published : 54
Paper Published : 3316
No. of Authors : 6857
  Journal Paper




Paper Title :
Numerical Range of Linear Pencils

Author :Seyedehmasoumeh Vaseghrahimparvar, Hosseinali Abkenari

Article Citation :Seyedehmasoumeh Vaseghrahimparvar ,Hosseinali Abkenari , (2018 ) " Numerical Range of Linear Pencils " , International Journal of Management and Applied Science (IJMAS) , pp. 46-47, Volume-4,Issue-4

Abstract : Let A, B be n X n (complex) matrices. We are mainly interested in the study of the structure of the spectrum of a linear pencil, that is, a pencil of the form A – B, where  is a complex number. The numerical range of a linear pencil of a pair (A, B) is the set W(A, B) = {x * (A - B) x:x  Cn,  x  1,   C}. The numerical range of linear pencils with Hermitian coefficients was studied by some authors. We are mainly interested in the study of the numerical range of a linear pencil, A - B, when one of the matrices A or B is Hermitian and C. we characterize it for small dimensions in terms of certain algebraic curves. For the case n = 2, the boundary generating curves are conics. For the case n = 3, all the possible boundary generating curves can be completely described by using Newton’s classification of cubic curves. The results are illustrated by numerical examples.

Type : Research paper

Indexed : Google Scholar


Copyright: © Institute of Research and Journals

| PDF |
Viewed - 26
| Published on 2018-06-22
   
   
IRAJ Other Journals
IJMAS updates
IJMAS -THANK YOU ALL FOR CONTRIBUTING YOUR PAPER TO IJMAS DECEMBER ISSUE.ALL AUTHORS ARE REQUESTED TO GET THEIR HARD COPY NOW.
The Conference World

JOURNAL SUPPORTED BY