Module oc_combine_mod

1.

Purpose: combined out-of-core operators.

2.

Functions and subroutines

(a)

subroutine oc_chain(A,B,C adj,add, x_,yy_,op1 ...op9)

Purpose: chain operators (overloaded)

$$\bold D= \mathcal A\bold m$$

$$\bold D= \mathcal A\mathcal{B}\bold m$$

$$\bold D= \mathcal A\mathcal{B}\mathcal{C}\bold m$$

• A,B,C: out-of-core operators

(b)

subroutine oc_row(A1,A2, adj,add, x1_,x2_,y1_,op1 ...op9)

Purpose: row combined operator

$$\left [\mathcal A_1\quad\mathcal A_2\right ] \left [\bold m_1\atop\bold m_2\right ] = \bold D$$

• A1,A2: out-of-core operators

(c)

subroutine oc_column11(A1,eps,A2, adj,add, x_,y1_,y2_, maxmem,op1 ...op9)

Purpose:

$$\left [\mathcal A_1\atop\epsilon\mathcal A_2\right ] \bold m= \left [\bold D_1\atop\bold D2\right ]$$

• A1,A2: out-of-core operators
• eps: scaling factor

(d)

subroutine oc_column20(A1,B1,eps, adj,add, x_,y1_,y2_, maxmem,op1 ...op9)

Purpose:

$$\left [\mathcal A_1 \mathcal{B}_1\atop\epsilon I\right ] \bold m= \left [\bold D_1\atop\bold D2\right ]$$

• A1,B1: out-of-core operators
• eps: scaling factor

(e)

subroutine oc_column21(A1,B1,eps,A2, adj,add, x_,y1_,y2_, maxmem,op1 ...op9)

Purpose:

$$\left [\mathcal A_1 \mathcal{B}_1\atop\epsilon\mathcal A_2\right ] \bold m= \left [\bold D_1\atop\bold D2\right ]$$

• A1,A2,B1: out-of-core operators
• eps: scaling factor

(f)

subroutine oc_column30(A1,B1,C1,eps, adj,add, x_,y1_,y2_, maxmem,op1 ...op9)

Purpose:

$$\left [\mathcal A_1 \mathcal{B}_1 \mathcal{C}_1\atop\epsilon I\right ] \bold m= \left [\bold D_1\atop\bold D2\right ]$$

• A1,B1,C1,: out-of-core operators
• eps: scaling factor

C