A note on positive deniteness and stability of interval matrices

author

H Veiseh Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

Abstract:

It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval matrices.

Upgrade to premium to download articles

Already have an account?login

similar resources

a note on positive deniteness and stability of interval matrices

it is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. these conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.furthermore we introduce a new necessary and sucient condition for checkingstability of interv...

full text

A Note on Checking Regularity of Interval Matrices

It is proved that two previously known sufficient conditions for regularity of interval matrices are equivalent in the sense that they cover the same class of interval matrices.

full text

A note on “ 5 × 5 Completely positive matrices ”

In their paper “5×5 Completely positive matrices,” Berman and Xu [BX04] attempt to characterize which 5× 5 doubly nonnegative matrices are also completely positive. Most of the analysis in [BX04] concerns a doubly nonnegative matrix A that has at least one off-diagonal zero component. To handle the case where A is componentwise strictly positive, Berman and Xu utilize an “edge-deletion” transfo...

full text

the effects of cognitive strategies- note making and underlining- on iranian efl learners’ reading comprehension

هدف از انجام این مطالعه ، بررسی اثرات استفاده از استراتژی های شناختی یعنی "نت برداری" و "زیر خط کردن" بر روی عملکرد درک مطلب زبان آموزان ایرانی می باشد. به این منظور، 60 زبان آموز دختر سال چهارم دبیرستان از طریق آزمون پیشرفت زبان انگلیسی (نلسون)، از یک جامعه آماری بزرگتر انتخاب شدند. سپس به صورت تصادفی به سه گروه که هر گروه شامل ?0 دانش آموز همسان بود، تقسیم شدند: دو گروه آزمایش(گروه "نت برداری...

15 صفحه اول

A Note On Dual Models Of Interval DEA and Its Extension To Interval Data‎‎

In this article, we investigate the measurement of performance in DMUs in which input and/or output values are given as imprecise data. By imprecise data, we mean that in some cases, we only know that the actual values are inside certain intervals, and in other cases, data are specified only as ordinal preference information. In this article, we present two distinct perspectives for determining...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}

Journal title