Power convergent boolean 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

Boolean Matrices . . . Neither Boolean nor Matrices

Boolean matrices, the incidence matrices of a graph, are known not to be the (universal) matrices of a Boolean algebra. Here, we also show that their usual composition cannot make them the matrices of any algebra. Yet, later on, we “show” that it can. This seeming paradox comes from the hidden intrusion of a widespread set-theoretical (mis) definition and notation and denies its harmlessness. A...

متن کامل

Power Indices of Trace Zero Symmetric Boolean Matrices

The power index of a square Boolean matrix A is the least integer d such that A is a linear combination of previous nonnegative powers of A. We determine the maximum power indices for the class of n × n primitive symmetric Boolean matrices of trace zero, the class of n × n irreducible nonprimitive symmetric Boolean matrices, and the class of n×n reducible symmetric Boolean matrices of trace zer...

متن کامل

Concerning Hausdorff Matrices and Absolutely Convergent Sequences1

for£}=0, 1,2,.... This paper is concerned with the determination of those generalized Hausdorff matrices which sum all absolutely convergent sequences. Theorem 2 gives a sufficiency condition stated in terms of the behavior of the points of continuity of the graph of g and Theorems 3 and 4 provide examples which serve to further describe functions which generate such matrices. Theorem 5 gives a...

متن کامل

Cycle-symmetric matrices and convergent neural networks

This work investigates a class of neural networks with cycle-symmetric connection strength. We shall show that, by changing the coordinates, the convergence of dynamics by Fiedler and Gedeon [Physica D 111 (1998) 288] is equivalent to the classical results. This presentation also addresses the extension of the convergence theorem to other classes of signal functions with saturations. In particu...

متن کامل

Invertibly convergent in nite products of matrices

The standard de nition of convergence of an in nite product of scalars is extended to the in nite product P= n=1Bn of k × k matrices; that is, P is convergent according to the de nition given here if and only if there is an integer N such that Bn is invertible for n¿N and P= limn→∞ m=NBm is invertible. A family of su cient conditions for this kind of convergence is given, along with examples sh...

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: 1993

ISSN: 0024-3795

DOI: 10.1016/0024-3795(93)90323-g