ON SOME SINGULAR VALUE INEQUALITIES FOR MATRICES

ILYAS ALI; Huyang; ABDULSHAKOOR

Makale detayları

ON SOME SINGULAR VALUE INEQUALITIES FOR MATRICES

Yazarlar:

ILYAS ALI | Huyang | ABDULSHAKOOR

Yayıncı:

Mehmet Zeki SARIKAYA

Dergi:

Konuralp Journal of Mathematics 2014 Vol.2 Issue 1, pp.58-89

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000536826

Sıklık:

İki Yıllık

eISSN:

2147-625X

Özet:

 

Some singular value inequalities for matrices are given. Amongother inequalities it is proved that if f and g be nonnegative functions on[0, ∞) which are continuous and satisfying the relation f (t)g(t) = t, for allt ∈ [0, ∞), thensj ∗XB ∗XB ) 1≤ sj((A∗f(| X2(| X∗|)A+ A∗f2(| X∗|)A) ⊕ (B∗g2(| X |)B+ B∗g2(| X |)B)),2(| X 1(| X 2(| X 1+ Af(| X|)A2) ⊕ (Bg(| X |)B1+ Bg(| X |)B2)),for j = 1, 2, ..., n, where A1, A, B, B2, X are square matrices. Our results inthis article generalize some existing singular value inequalities of matrices.

Makale detayları

ON SOME SINGULAR VALUE INEQUALITIES FOR MATRICES

Yazarlar: ILYAS ALI | Huyang | ABDULSHAKOOR

Yayıncı: Mehmet Zeki SARIKAYA

Dergi: Konuralp Journal of Mathematics 2014 Vol.2 Issue 1, pp.58-89

Belge Tipi: Makale

Yayın Tarihi: 5/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000536826

Sıklık: İki Yıllık

eISSN: 2147-625X

Sayı

Yazarlar:

ILYAS ALI | Huyang | ABDULSHAKOOR

Yayıncı:

Mehmet Zeki SARIKAYA

Dergi:

Konuralp Journal of Mathematics 2014 Vol.2 Issue 1, pp.58-89

Belge Tipi:

Makale

Yayın Tarihi:

5/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000536826

Sıklık:

İki Yıllık

eISSN:

2147-625X