Complementary basic 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

Complementary basic matrices

We show that an n× n matrix which has both subdiagonal and superdiagonal rank at most one even if we distribute the diagonal positions (except the first and last) completely between the subdiagonal and superdiagonal part, then this matrix can be factorized into a product of n− 1 matrices, each consisting of a 2 × 2 principal submatrix in two consecutive rows (and columns) in all possible of the...

متن کامل

Basic Properties of Circulant Matrices and Anti-Circular Matrices

For simplicity, we adopt the following convention: i, j, k, n, l denote elements of N, K denotes a field, a, b, c denote elements of K, p, q denote finite sequences of elements of K, and M1, M2, M3 denote square matrices over K of dimension n. Next we state two propositions: (1) 1K · p = p. (2) (−1K) · p = −p. Let K be a set, let M be a matrix over K, and let p be a finite sequence. We say that...

متن کامل

Linear Discrepancy of Basic Totally Unimodular Matrices

We show that the linear discrepancy of a basic totally unimodular matrix A ∈ Rm×n is at most 1− 1 n+1 . This extends a result of Peng and Yan. AMS Subject Classification: Primary 11K38.

متن کامل

Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices

We present multiresidue integral formulae for partial sums in the basis of link patterns of the polynomial solution to the level 1 Uq(ŝl2) quantum Knizhnik–Zamolodchikov equation at generic values of the quantum parameter q. These allow for rewriting and generalizing a recent conjecture [Di Francesco ’06] connecting the above to generating polynomials for weighted Totally Symmetric Self-Complem...

متن کامل

Complementary matrices in the inclusion principle for dynamic controllers

A generalized structure of complementary matrices involved in the input-state-output Inclusion Principle for linear time-invariant systems (LTI) including contractibility conditions for static state feedback controllers is well known. In this paper, it is shown how to further extend this structure in a systematic way when considering contractibility of dynamic controllers. Necessary and suffici...

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: 2004

ISSN: 0024-3795

DOI: 10.1016/j.laa.2004.01.014