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<div dir="ltr"><font color="#000000" size="3" face="Times New Roman">Değerli liste üyeleri,</font></div>
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<div dir="ltr"><font face="times new roman">Yeditepe Üniversitesi Matematik Bölümü Seminerleri kapsamında 25 Aralık Salı günü Dr. Nermine El Sissi konuşmacı olacaktır. Konuşma ile ilgili detaylı bilgi aşağıdadır.</font></div>
<div dir="ltr"><font face="times new roman"></font> </div>
<div dir="ltr"><font face="times new roman">İyi çalışmalar,</font></div>
<div dir="ltr"><font face="times new roman">Barış Efe</font></div>
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<div dir="ltr"><font face="times new roman">Konuşmacı: Dr. Nermine El Sissi</font></div>
<div dir="ltr"><font face="times new roman">Tarih ve saat: 25 Aralık 2018, 13:00</font></div>
<div dir="ltr"><font face="times new roman">Yer: Yeditepe Üniversitesi, Matematik Bölümü (Seminer odası)</font></div>
<div dir="ltr"><font face="times new roman">Başlık: <span style="FONT-SIZE: 18pt">
<font size="3"><span style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black"><font size="3"><span style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black"><font size="3"><span><span style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black"><span><span style="FONT-SIZE: 18pt; FONT-FAMILY: "Times New Roman",serif; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA"><font size="3">A
Combinatorial Interpretation of the LDU-Decomposition of Totally Positive Matrices and their Inverses</font></span></span></span></span></font></span></font></span>
<div dir="ltr"><font face="times new roman"><span style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black"></span></font><font face="times new roman"><span style="FONT-SIZE: 18pt"></span>Özet:
<span style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black">
<span style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black"><span style="FONT-SIZE: 12pt"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman','serif'; COLOR: black"><span style="FONT-SIZE: 12pt"><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">In
this talk we explore the combinatorial description of the LDU-decomposition of totally positive matrices. A description of the lower triangular
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMMI10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMMI10">L</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">,
the diagonal </span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMMI10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMMI10">D
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">and the upper triangular
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMMI10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMMI10">U
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">matrices of the LDU-decomposition of totally positive
matrices in terms of the combinatorial structure of essential planar networks is provided. Similarly, we give a combinatorial description of the inverses of the aforementioned matrices. Lastly, we provide recursive formulae for computing the
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMMI10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMMI10">L</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">,
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMMI10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMMI10">D</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">,
and </span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMMI10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMMI10">U
</span><span style="FONT-SIZE: 11pt; FONT-FAMILY: CMR10; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: TR; mso-fareast-language: TR; mso-bidi-language: AR-SA; mso-bidi-font-family: CMR10">matrices of a totally positive matrix.</span></span></span></span></span></span></font></div>
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