LDA+DMFT-IPT(1) will be given. In Sec. \[sec:result-Fe-Ni\], we test LDA+DMFT-IPT(1) in systems of ferromagnetic bcc-Fe and fcc-Ni. In the energy spectra, one can see nickel $6~{\mbox{eV}}$ satellite caused by hole-hole scattering process and the narrowing of occupied 3d bands caused by on-site dynamical electron correlation. Section \[sec:result-NiO\] will be devoted to calculation of the electronic structures in antiferromagnetic NiO by LDA+DMFT-IPT(1). Local Coulomb interaction of nickel 3d bands enhances the hybridization between Ni-3d and O-2p bands and system becomes the charge-transfer insulator with accurate band gap. In both sections, we will present the energy spectra and ${\bm k}$-resolved spectrum and LFT spectra of single isolated ion. Section \[sec:CONC\] is the summary. We discuss the applicability of LDA+DMFT-IPT(1) to various realistic strongly correlated materials by comparing with other LDA+DMFT method and experiments.

Formulation {#sec:FORM}
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Hamiltonian and Coulomb interactions
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We proceed with the Hubbard-type Hamiltonian as follows : $$\begin{aligned}
\! \! \! H &=& H_{{\mbox{\scriptsize{LDA}}}}^{dc} + H_{int}~,
\label{eqn:ham}\\
\! \! \!  H_{{\mbox{\scriptsize{LDA}}}}^{dc} \! \! 
&=& \! \! \! \! \! \! \! \! \! \! \! \sum_{j(m{\sigma})j'(m')} \! \! \! \! \! \! \! 
(h^{jj'({\mbox{\scriptsize{LDA}}})}_{mm'{\sigma}}
  -\Delta h^{{\sigma}}_{dc}\delta_{jj'}\delta_{mm'}) c_{jm{\sigma}}^{\dag}c_{j'm'{\sigma}}~,
\label{eqn:HLDAdc}\\
\! \! \!  H_{int} &=& \! \! {\frac{1}{2}} \! \! \sum_{j(m{\sigma})}\! 