Computation of singular value decomposition (SVD) has been a topic of concern by many numerical linear algebra researchers. Fast SVD has been a very effective tool in computer vision in a number of aspects, such as: face recognition, eye tracking etc. At the present state of the art fast and fixed-point power efficient SVD algorithm needs to be developed for real-time embedded computing. The wo...

Eigenvectors and eigenvalues are numbers and vectors associated to square matrices, and together they provide the eigen-decomposition of a matrix which analyzes the structure of this matrix. Even though the eigen-decomposition does not exist for all square matrices, it has a particularly simple expression for a class of matrices often used in multivariate analysis such as correlation, covarianc...

We survey general techniques and open problems in numerical lin ear algebra on parallel architectures We rst discuss basic principles of parallel processing describing the costs of basic operations on parallel ma chines including general principles for constructing e cient algorithms We illustrate these principles using current architectures and software systems and by showing how one would imp...

Cylindrically symmetric inhomogeneous magnetized string cosmological model is investigated with cosmological term Λ varying with time. To get the deterministic solution, it has been assumed that the expansion (θ) in the model is proportional to the eigen value σ 1 of the shear tensor σ j . The value of cosmological constant for the model is found to be small and positive which is supported by t...

Water-filling is the power allocation that maximizes the parallel-channel eigen-MIMO informationtheoretic capacity. However, for practical designs, designing for error performance is also important. The overall uncoded error rate, in a system with water-filled eigen-channels using digital modulation, degrades through the errors in the data that uses the weaker eigen-channels. This is because in...

Aljabar max-plus adalah suatu struktur aljabar yang dilengkapi dengan operasi maksimum dan penjumlahan. Diantara beberapa masalah pada menentukan nilai eigen vektor matriks atas max-plus. Nilai dapat diterapkan dalam keperiodikan sistem antrian. Dalam tulisan ini akan dibahas penentuan eigen, serta aplikasinya keperidikan dicari berdasarkan bobot rata-rata sirkuit elementer graf terkait digunak...

Free probability provides tools and techniques for studying the spectra of large Hermitian random matrices. These stochastic eigen-analysis techniques have been invaluable in providing insight into the structure of sample covariance matrices. We briefly outline how these techniques can be used to analytically predict the spectrum of large sample covariance matrices. We discuss how these eigen-a...