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parahermitian matrix

On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix

On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix

... Hermitian matrix by an eigenvalue decomposition (EVD) to the case of a parahermitian matrix that is analytic at least on an annulus containing the unit ...Such parahermitian matrices contain ...

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Impact of space-time covariance estimation errors on a parahermitian matrix EVD

Impact of space-time covariance estimation errors on a parahermitian matrix EVD

... covariance matrix on its parahermitian matrix eigenvalue ...covariance matrix, while the perturbation of eigenvector subspaces can additionally be influenced by the distance between the ...

5

Memory and complexity reduction in parahermitian matrix manipulations of PEVD algorithms

Memory and complexity reduction in parahermitian matrix manipulations of PEVD algorithms

... the parahermitian matrix has been ex- ploited when calculating a polynomial EVD, which has been exemplified here by a focus on the SMD ...reduced matrix representation which only records its causal ...

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Iterative approximation of analytic eigenvalues of a parahermitian matrix EVD

Iterative approximation of analytic eigenvalues of a parahermitian matrix EVD

... We present an algorithm that extracts analytic eigenvalues from a parahermitian matrix. Operating in the discrete Fourier transform domain, an inner iteration re-establishes the lost as- sociation between ...

5

Inversion of Parahermitian matrices

Inversion of Parahermitian matrices

... a parahermitian matrix into a product of two parau- nitary, ...polynomial matrix. The inversion of the overall parahermitian ma- trix therefore reduces to the inversion of auto-correlation ...

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Impact of source model matrix conditioning on iterative PEVD algorithms

Impact of source model matrix conditioning on iterative PEVD algorithms

... Polynomial parahermitian matrices can accurately and ele- gantly capture the space-time covariance in broadband array ...of parahermitian matrix that is to be ...

6

Sample space-time covariance matrix estimation

Sample space-time covariance matrix estimation

... A parahermitian matrix — typically a cross-spectral density (CSD) matrix emerging as the z-transform of a space-time covariance matrix — can be decomposed into a product of analytic ...

5

Restricted update sequential matrix diagonalisation for parahermitian matrices

Restricted update sequential matrix diagonalisation for parahermitian matrices

... gains with little impact on algorithm convergence. However, the entire parahermitian matrix must still be updated at each iteration in these approaches. This paper expands upon this idea by introducing a ...

5

Maximum energy sequential matrix diagonalisation for parahermitian matrices

Maximum energy sequential matrix diagonalisation for parahermitian matrices

... sequential matrix diagonalisation which transfers the maxi- mally achievable off-diagonal power in very iteration ...the parahermitian matrix grows both in terms of space and lag ...

5

Divide-and-conquer sequential matrix diagonalisation for parahermitian matrices

Divide-and-conquer sequential matrix diagonalisation for parahermitian matrices

... polynomial matrix eigenvalue decomposition (PEVD) have been ...a parahermitian matrix via paraunitary ...sequential matrix diagonalisation (SMD) ...sequential matrix diagonalisation ...

5

A Referral-Based QoS Prediction Approach for Service- Based Systems

A Referral-Based QoS Prediction Approach for Service- Based Systems

... 100 matrix, the User-Service (US) Matrix defined in the previous ...US Matrix contains a three-tuple, each representing one of the following QoS values: reliability, response times, and ...

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On Humbert Matrix Polynomials of Two Variables

On Humbert Matrix Polynomials of Two Variables

... Humbert matrix polynomials of two variables. Some hypergeometric matrix representations of the Humbert matrix polynomials of two variables, the double generating matrix functions and ...

5

Rare earth element fluorocarbonate minerals from the Olympic Dam Cu U Au Ag Deposit, South Australia

Rare earth element fluorocarbonate minerals from the Olympic Dam Cu U Au Ag Deposit, South Australia

... The reproducible compositional differences among textural groups of REE-fluorocarbonates from Olympic Dam carry several implications for fluid evolution. Some texturally and compositionally distinct bastnäsite groupings ...

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Bimodal gastroretentive drug delivery systems of lamotrigine: Formulation and evaluation

Bimodal gastroretentive drug delivery systems of lamotrigine: Formulation and evaluation

... hydrophillic matrix to formulations with dual matrix hydroxypropyl methylcellulose acetate succinate shown that as the percentage of polymer increased, the release ...hydrophillic matrix composing ...

7

LIBMF: A Library for Parallel Matrix Factorization in Shared-memory Systems

LIBMF: A Library for Parallel Matrix Factorization in Shared-memory Systems

... LIBMF supports two types of matrix factorization, real-valued matrix factorization (RVMF) and binary matrix factorization (BMF). RVMF aims to find P and Q to approxi- mate the values of entries as ...

5

Sí, Se Puede (Yes, We Can), Culturally Relevant Biographies: A study on the impact of culturally relevant biographies on social studies instruction

Sí, Se Puede (Yes, We Can), Culturally Relevant Biographies: A study on the impact of culturally relevant biographies on social studies instruction

... sign matrix, henceforth abbreviated ASM, is a square (0, +1, −1)-matrix without zero rows and columns, such that the +1s and −1s alternate in each row and column, beginning and ending with a +1, see ...

63

Matrix metalloproteinase-2, tissue inhibitor of matrix metalloproteinase-2, and transforming growth factor beta 1 in the aqueous humor and serum of patients with pseudoexfoliation syndrome

Matrix metalloproteinase-2, tissue inhibitor of matrix metalloproteinase-2, and transforming growth factor beta 1 in the aqueous humor and serum of patients with pseudoexfoliation syndrome

... between matrix metalloproteinases (MMPs) and their tissue inhibitors (tissue inhibitors of matrix metalloproteinases ...extracellular matrix (ECM) deposition, which is the most common cause of PEX ...

5

On Horn Matrix Function H2(A,A′,B,B′;C;z,w) of Two Complex Variables under Differential Operator

On Horn Matrix Function H2(A,A′,B,B′;C;z,w) of Two Complex Variables under Differential Operator

... The results are established in this study to express a clear idea that the use of operational techniques provides a simple and straightforward method to get new relations for Horn matrix functions. Therefore, ...

15

Observations on Some Special Matrices and Polynomials

Observations on Some Special Matrices and Polynomials

... Pascal matrix, which has been known since 1303, but has been studied carefully only recently [1], appears in combinatorics, image pro- cessing, signal processing, numerical analysis, probability and surface ...

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Lieb

Lieb

... Since two equivalent generator matrices differ by right multiplication of a unimodular matrix, they have the same full size minors, up to multiplication by a nonzero constant. The complexity or degree of a ...

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