SCHUR COMPLEMENTS OF BLOCK KRONECKER PRODUCTS

Abstract

The paper is established on Schur complements and block Kronecker product of positive semidefinite matrices. In particular, a formulation for the block Kronecker product of Schur complements of block matrices is improved. Additionally, an new following inequality for block Kronecker product of Schur complements of two matrices and their conjugate transpose is proved

Keywords

• Schur Complements, Block Kronecker Product, Positive Semidefinite Matrices, MoorePenrose Inverse

BLOK KRONECKER ÇARPIMLARIN SCHUR TAMAMLAYICILARI

Abstract

Bu çalışma, yarı pozitif tanımlı blok matrislerin blok kronecker çarpımları ve Schur tamamlayıcıları üzerine kurulmuştur. Özellikle blok matrislerin Schur tamamlayıcılarının blok kronecker çarpımı için bir formülasyon geliştirilmiştir. Bundan başka, iki matris ve eşlenik transpozlarının schur tamamlayıcılarının blok kronecker çarpımları için aşağıdaki yeni eşitsizlik kanıtlanmıştır

Keywords

• Schur Tamamlayıcılar, Blok Kronecker Çarpım, Yarı Pozitif Tanımlı Matrices , Moore-Penrose Tersler

References

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