Through this research the following research objectives should be met: * Present spectral factori... more Through this research the following research objectives should be met: * Present spectral factorization of invertible non-scalar matrices ([24] and ) in order to place the current investigation concerning factorization in a broader context. * Present a unified and coherent treatment of the factorization of singular matrices as contained in the works by Wu [29], Laffey [17] and Sourour [26]. * Investigate applications of spectral factorization to invertible matrices i.e. unipotent, positive-definite, commutator, involutory and Hermitian factorization as found in [24], [17], [18] and [26]. * Investigate the conditions under which an invertible matrix can be expressed as a product of two involutions as found in [13]. * Investigate applications of spectral factorization on singular matrices i.e. positive-semidefinite factorization as found in [26]. * The UNISA library catalogue * E-journals * MathSciNet * arXiv () * Wikipedia * JSTOR * Cambridge Journal Online * ScienceDirect
Through this research the following research objectives should be met: * Present spectral factori... more Through this research the following research objectives should be met: * Present spectral factorization of invertible non-scalar matrices ([24] and ) in order to place the current investigation concerning factorization in a broader context. * Present a unified and coherent treatment of the factorization of singular matrices as contained in the works by Wu [29], Laffey [17] and Sourour [26]. * Investigate applications of spectral factorization to invertible matrices i.e. unipotent, positive-definite, commutator, involutory and Hermitian factorization as found in [24], [17], [18] and [26]. * Investigate the conditions under which an invertible matrix can be expressed as a product of two involutions as found in [13]. * Investigate applications of spectral factorization on singular matrices i.e. positive-semidefinite factorization as found in [26]. * The UNISA library catalogue * E-journals * MathSciNet * arXiv () * Wikipedia * JSTOR * Cambridge Journal Online * ScienceDirect
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