Intervals of P-matrices and related matrices

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

E-Clean Matrices and Unit-Regular Matrices

Let $a, b, k,in K$ and $u, v in U(K)$. We show for any idempotent $ein K$, $(a 0|b 0)$ is e-clean iff $(a 0|u(vb + ka) 0)$ is e-clean and if $(a 0|b 0)$ is 0-clean, $(ua 0|u(vb + ka) 0)$ is too.

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

A brief introduction to quaternion matrices and linear algebra and on bounded groups of quaternion matrices

The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More ...

متن کامل

ON THE `p NORM OF GCD AND RELATED MATRICES

We estimate the `p norm of the n×n matrix, whose ij entry is (i, j)/[i, j], where r, s ∈ R, (i, j) is the greatest common divisor of i and j and [i, j] is the least common multiple of i and j.

متن کامل

Generalizations of Some Criteria for P-Matrices and M-Matrices

It is well known that the set of P-matrices includes several important classes of matrices such as M-matrices and positive definite matrices. P-matrices arize in various theoretical and applied fields, for example in linear complementarity theory [9], in the analysis of the solution set of systems of linear interval equations [6], in the study of convex sets of matrices [5]. The class of M-mati...

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: Linear Algebra and its Applications

سال: 1984

ISSN: 0024-3795

DOI: 10.1016/0024-3795(84)90202-7