Sufficient Conditions for Regularity and Singularity of Interval Matrices

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sufficient Conditions for Regularity and Singularity of Interval Matrices

Several verifiable sufficient conditions for regularity and singularity of interval matrices are given. As an application, a verifiable sufficient condition is derived for an interval matrix to have all eigenvalues real.

متن کامل

Ela Forty Necessary and Sufficient Conditions for Regularity of Interval Matrices: a Survey∗

This is a survey of forty necessary and sufficient conditions for regularity of interval matrices published in various papers over the last thirty-five years. A full list of references to the sources of all the conditions is given, and they are commented on in detail.

متن کامل

AE regularity of interval matrices

Consider a linear system of equations with interval coefficients, and each interval coefficient is associated with either a universal or an existential quantifier. The AE solution set and AE solvability of the system is defined by $\forall\exists$-quantification. Herein, we deal with the problem what properties must the coefficient matrix have in order that there is guaranteed an existence of a...

متن کامل

On Relation Between P-Matrices and Regularity of Interval Matrices

We explore new results between P-matrix property and regularity of interval matrices. In particular, we show that an interval matrix is regular in and only if some special matrices constructed from its center and radius matrices are P-matrices. We also investigate the converse direction. We reduce the problem of checking P-matrix property to regularity of a special interval matrix. Based on thi...

متن کامل

Strong Regularity of Parametric Interval Matrices

We define strong regularity of a parametric interval matrix and give conditions that characterize it. The new conditions give a better estimation for regularity of a parametric matrix than the conditions used so far. Verifiable sufficient regularity conditions are also presented for parametric matrices. The new sufficient conditions motivate a generalization of Rump’s parametric fixed-point ite...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications

سال: 1998

ISSN: 0895-4798,1095-7162

DOI: 10.1137/s0895479896310743