Results 11 to 20 of about 295 (28)
Stable matrices, the Cayley transform, and convergent matrices
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 77-81, 1991., 1991 The main result is that a square matrix D is convergent () if and only if it is the Cayley transform CA = (I − A) −1(I + A) of a stable matrix A, where a stable matrix is one whose characteristic values all have negative real parts. In passing, the concept of Cayley transform is generalized, and the generalized version is shown closely related to the ...
Tyler Haynes
wiley +1 more source
Log-concavity and LC-positivity [PDF]
, 2006 A triangle $\{a(n,k)\}_{0\le k\le n}$ of nonnegative numbers is LC-positive if for each $r$, the sequence of polynomials $\sum_{k=r}^{n}a(n,k)q^k$ is $q$-log-concave.
Brenti +16 more
core +5 more sources
, 2009 A square matrix is called {\it Hessenberg} whenever each entry below the subdiagonal is zero and each entry on the subdiagonal is nonzero. Let $V$ denote a nonzero finite-dimensional vector space over a field $\fld$. We consider an ordered pair of linear
Godjali, Ali
core +2 more sources
Existence of an invariant form under a linear map
, 2017 Let $\F$ be a field of characteristic different from $2$ and $\V$ be a vector space over $\F$. Let $J: \alpha \to \alpha^J$ be a fixed involutory automorphism on $\F$. In this paper we answer the following question: given an invertible linear map $T: \V \
Gongopadhyay, Krishnendu +1 more
core +1 more source
A note on the unitary part of a contraction [PDF]
, 2010 Short and independent proofs are given to two recent results of Gau and Wu on the unitary part of a ...
Li, Chi-Kwong
core +1 more source
Cycles of linear and semilinear mappings
, 2012 We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arrow ---> or
Bass +16 more
core +1 more source
Counting Semilinear Endomorphisms Over Finite Fields [PDF]
, 2011 For a finite field k and a triple of integers g \ge r \ge s \ge 0, we count the number of semilinear endomorphisms of a g-dimensional k-vector space which have rank r and stable rank s. Such endomorphisms show up naturally in the classification of finite
Holland, Timothy
core
An algorithm for discrete fractional Hadamard transform
, 2015 We present a novel algorithm for calculating the discrete fractional Hadamard transform for data vectors whose size N is a power of two. A direct method for calculation of the discrete fractional Hadamard transform requires $N^2$ multiplications, while ...
Cariow, Aleksandr +1 more
core +1 more source
Pasting and Reversing Approach to Matrix Theory
, 2016 The aim of this paper is to study some aspects of matrix theory through Pasting and Reversing. We start giving a summary of previous results concerning to Pasting and Reversing over vectors and matrices, after we rewrite such properties of Pasting and ...
Acosta-Humánez, Primitivo B. +1 more
core +1 more source
A method for computing quadratic Brunovsky forms
, 2005 In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J.
Jin, Wen-Long
core +3 more sources