We deal with matrix transformations preserving the starshape of sequences. The main result gives the necessary and sufficient conditions for a lower triangular matrix A to preserve the starshape of sequences. Also, we discuss the nature of the mappings of starshaped sequences by some classical matrices. 2000 Mathematics Subject Classification. 40C05, 40D05, 40G05.

Communicated by Abraham A. Ungar Abstract. In this paper, we investigate the reflections in Minkowski three-space by three different approaches. Firstly, we define Lorentzian reflections with Lorentzian inner product. Then, we examine Lorentzian reflections in view of Lorentzian Householder matrices. Finally, we use pure split quaternions to derive Lorentzian reflections. For each case, we find...

A new frequency response based model reduction technique is presented for use in the mid-frequency range. The reduction was designed to avoid the use of modal based correlation metrics, which are known to fail in systems with high modal density. A transformation matrix based on a set of complex shapes extracted from the frequency response is used to reduce the impedance matrix to the sensor loc...

The performance of an 8-noded hexahedron C1* element in elasticity is investigated. Three translational displacements and their derivatives as strain in each direction are considered as degrees of freedom (d.o.f.’s) at each node. The geometric mapping is enforced using a C0 element with no derivative as nodal d.o.f.’s . The stiffness matrix of the element is also computed using a transformation...

Properties of fast transformation matrices for multiple-valued input binary output Mixed Linearly Independent Arithmetic Logic (MLIAL) are discussed. It is shown that some of MLIAL transformations for Boolean functions are applicable for multiple-valued input binary functions with appropriate coding. Hence the computational advantage of fast transform calculations of MLIAL transformations apply...

In this work, we introduce some new generalized sequence spaces related to the spaces l∞(p), c(p) and c0(p). Furthermore, we investigate some topological properties such as the completeness and the isomorphism, and we also give some inclusion relations among these sequence spaces. In addition, we compute the α-, βand γ -duals of these spaces, and characterize certain matrix transformations on t...

In this paper, we establish a new theorem on | A, pn |k summability factors of Fourier series using matrix transformation, which generalizes a main theorem of Bor [6] on ∣∣N̄, pn∣∣k summability factors of Fourier series. Also some new results have been obtained.

Registration of spatial data based on PCA is advanced in the paper. The principle is that principal components of spatial data set are changed with the coordinate system. For two spatial data sets of a certain object, we can estimate the coordinate system transformation matrix using the spatial transformation matrix between the corresponding principal components. The matrix of principal compone...

In Schröder’s equation, φ is the given quantity, a holomorphic selfmap of the unit disc U = {z ∈ C : |z| < 1}, and the goal is to find λ ∈ C and f holomorphic on U so that (1) is satisfied. Schröder’s equation is, of course, the eigenvalue equation for the composition operator Cφ, defined by Cφf = f ◦φ, where, at least for now, f is allowed to range through the entire space H(U) of functions ho...

We study the neutrino mixing matrix (MNS matrix) in seesaw model. Assuming large mass hierarchy for heavy right-handed Majorana mass, we show that MNS matrix is determined by a unitary matrix which transforms neutrino yukawa term into a triangular form. Large mixing may occur even if yukawa matrix for charged lepton and that for neutrino is simultaneously diagonalized by biunitary transformatio...