UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934
                               (Amendment No. 5)*

                          Capital Southwest Corporation
                                (Name of Issuer)

                                  Common Stock
                         (Title of Class of Securities)

                                    140501107
                                 (CUSIP Number)

                                December 31, 2004
             (Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
                                   is filed:

                                [x] Rule 13d-1(b)
                                [ ] Rule 13d-1(c)
                                [ ] Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).

                               Page 1 of 12 pages



-------------------                                           ------------------
CUSIP No. 140501107                    13G                    Page 2 of 12 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1    NAME OF REPORTING PERSON /
     I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Artisan Partners Limited Partnership

--------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
     (see Instructions)                                                  (a) [ ]
                                                                         (b) [ ]
        Not Applicable

--------------------------------------------------------------------------------
3    SEC USE ONLY

--------------------------------------------------------------------------------
4    CITIZENSHIP OR PLACE OF ORGANIZATION

        Delaware

--------------------------------------------------------------------------------
               5   SOLE VOTING POWER
  NUMBER OF
                      None
   SHARES
               -----------------------------------------------------------------
BENEFICIALLY   6   SHARED VOTING POWER

  OWNED BY            368,369

    EACH       -----------------------------------------------------------------
               7   SOLE DISPOSITIVE POWER
  REPORTING
                      None
   PERSON
               -----------------------------------------------------------------
    WITH       8   SHARED DISPOSITIVE POWER

                      368,369

--------------------------------------------------------------------------------
9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

        368,369

--------------------------------------------------------------------------------
10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
     (see Instructions)

        Not Applicable

--------------------------------------------------------------------------------
11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

        9.6%

--------------------------------------------------------------------------------
12   TYPE OF REPORTING PERSON
     (see Instructions)

        IA

--------------------------------------------------------------------------------

                                  Page 2 of 12



-------------------                                           ------------------
CUSIP No. 140501107                    13G                    Page 3 of 12 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1    NAME OF REPORTING PERSON
     S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Artisan Investment Corporation

--------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
     (see Instructions)                                                  (a) [ ]
                                                                         (b) [ ]
        Not Applicable

--------------------------------------------------------------------------------
3    SEC USE ONLY

--------------------------------------------------------------------------------
4    CITIZENSHIP OR PLACE OF ORGANIZATION

        Wisconsin

--------------------------------------------------------------------------------
               5   SOLE VOTING POWER

  NUMBER OF           None

   SHARES      -----------------------------------------------------------------
               6   SHARED VOTING POWER
BENEFICIALLY
                      368,369
  OWNED BY
               -----------------------------------------------------------------
    EACH       7   SOLE DISPOSITIVE POWER

  REPORTING           None

   PERSON      -----------------------------------------------------------------
               8   SHARED DISPOSITIVE POWER
    WITH
                      368,369

--------------------------------------------------------------------------------
9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

        368,369

--------------------------------------------------------------------------------
10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
     (see Instructions)

        Not Applicable

--------------------------------------------------------------------------------
11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

        9.6%

--------------------------------------------------------------------------------
12   TYPE OF REPORTING PERSON
     (see Instructions)

        CO

--------------------------------------------------------------------------------

                                  Page 3 of 12



-------------------                                           ------------------
CUSIP No. 140501107                    13G                    Page 4 of 12 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1    NAME OF REPORTING PERSON
     S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Andrew A. Ziegler

--------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
     (see Instructions)                                                  (a) [ ]
                                                                         (b) [ ]
        Not Applicable

--------------------------------------------------------------------------------
3    SEC USE ONLY

--------------------------------------------------------------------------------
4    CITIZENSHIP OR PLACE OF ORGANIZATION

        U.S.A.

--------------------------------------------------------------------------------
               5   SOLE VOTING POWER

  NUMBER OF           None

   SHARES      -----------------------------------------------------------------
               6   SHARED VOTING POWER
BENEFICIALLY
                      368,369
  OWNED BY
               -----------------------------------------------------------------
    EACH       7   SOLE DISPOSITIVE POWER

  REPORTING           None

   PERSON      -----------------------------------------------------------------
               8   SHARED DISPOSITIVE POWER
    WITH
                      368,369

--------------------------------------------------------------------------------
9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

        368,369

--------------------------------------------------------------------------------
10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
     (see Instructions)

        Not Applicable

--------------------------------------------------------------------------------
11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

        9.6%

--------------------------------------------------------------------------------
12   TYPE OF REPORTING PERSON
     (see Instructions)

        IN

--------------------------------------------------------------------------------

                                  Page 4 of 12



-------------------                                           ------------------
CUSIP No. 140501107                    13G                    Page 5 of 12 Pages
-------------------                                           ------------------

--------------------------------------------------------------------------------
1    NAME OF REPORTING PERSON
     S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Carlene Murphy Ziegler

--------------------------------------------------------------------------------
2    CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP
     (see Instructions)                                                  (a) [ ]
                                                                         (b) [ ]
        Not Applicable

--------------------------------------------------------------------------------
3    SEC USE ONLY

--------------------------------------------------------------------------------
4    CITIZENSHIP OR PLACE OF ORGANIZATION

        U.S.A.

--------------------------------------------------------------------------------
               5   SOLE VOTING POWER

  NUMBER OF           None

   SHARES      -----------------------------------------------------------------
               6   SHARED VOTING POWER
BENEFICIALLY
                      368,369
  OWNED BY
               -----------------------------------------------------------------
    EACH       7   SOLE DISPOSITIVE POWER

  REPORTING           None

   PERSON      -----------------------------------------------------------------
               8   SHARED DISPOSITIVE POWER
    WITH
                      368,369

--------------------------------------------------------------------------------
9    AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

        368,369

--------------------------------------------------------------------------------
10   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
     (see Instructions)

        Not Applicable

--------------------------------------------------------------------------------
11   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

        9.6%

--------------------------------------------------------------------------------
12   TYPE OF REPORTING PERSON
     (see Instructions)

        IN

--------------------------------------------------------------------------------

                                  Page 5 of 12



Item 1(a)   Name of Issuer:

               Capital Southwest Corporation

Item 1(b)   Address of Issuer's Principal Executive Offices:

               12900 Preston Road, Suite 700
               Dallas, TX 75230

Item 2(a)   Name of Person Filing:

               Artisan Partners Limited Partnership ("Artisan Partners")
               Artisan Investment Corporation, the general partner of
                  Artisan Partners ("Artisan Corp.")
               Andrew A. Ziegler
               Carlene Murphy Ziegler

Item 2(b)   Address of Principal Business Office:

               Artisan Partners, Artisan Corp., Mr. Ziegler and Ms. Ziegler are
               all located at:

               875 East Wisconsin Avenue, Suite 800
               Milwaukee, WI 53202

Item 2(c)   Citizenship:

               Artisan Partners is a Delaware limited partnership
               Artisan Corp. is a Wisconsin corporation
               Mr. Ziegler and Ms. Ziegler are U.S. citizens

Item 2(d)   Title of Class of Securities:

               Common Stock

Item 2(e)   CUSIP Number:

               140501107

Item 3      Type of Person:

               (e) Artisan Partners is an investment adviser registered under
               section 203 of the Investment Advisers Act of 1940; Artisan Corp.
               is the General Partner of Artisan Partners; Mr. Ziegler and Ms.
               Ziegler are the principal stockholders of Artisan Corp.

                                  Page 6 of 12



Item 4      Ownership (at December 31, 2004):

               (a)  Amount owned "beneficially" within the meaning of rule
                    13d-3:

                    368,369

               (b)  Percent of class:

                    9.6% (based on 3,857,051 shares outstanding as of October
                    31, 2004)

               (c)  Number of shares as to which such person has:

                      (i) sole power to vote or to direct the vote: None

                     (ii) shared power to vote or to direct the vote: 368,369

                    (iii) sole power to dispose or to direct the disposition of:
                          None

                     (iv) shared power to dispose or to direct disposition of:
                          368,369

Item 5      Ownership of Five Percent or Less of a Class:

               Not Applicable

Item 6      Ownership of More than Five Percent on Behalf of Another Person:

               The shares reported herein have been acquired on behalf of
               discretionary clients of Artisan Partners. Persons other than
               Artisan Partners are entitled to receive all dividends from, and
               proceeds from the sale of, those shares. None of those persons,
               to the knowledge of Artisan Partners, Artisan Corp., Mr. Ziegler
               or Ms. Ziegler, has an economic interest in more than 5% of the
               class.

Item 7      Identification and Classification of the Subsidiary Which Acquired
            the Security Being Reported on by the Parent Holding Company or
            Control Person:

               Not Applicable

Item 8      Identification and Classification of Members of the Group:

               Not Applicable

Item 9      Notice of Dissolution of Group:

               Not Applicable

Item 10     Certification:

               By signing below I certify that, to the best of my knowledge and
               belief, the securities referred to above were acquired and are
               held in the ordinary course of business and were not acquired and
               are not held for the purpose of or with the effect of changing or
               influencing the control of the issuer of the securities and were
               not acquired and are not held in connection with or as a
               participant in any transaction having that purpose or effect.

                                  Page 7 of 12



                                    Signature

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date: January 26, 2005

                                   ARTISAN INVESTMENT CORPORATION
                                   for itself and as general partner of
                                   ARTISAN PARTNERS LIMITED PARTNERSHIP


                                   By: Lawrence A. Totsky*
                                       -----------------------------------------


                                   ANDREW A. ZIEGLER


                                   Andrew A. Ziegler*
                                   ---------------------------------------------


                                   CARLENE MURPHY ZIEGLER


                                   Carlene Murphy Ziegler*
                                   ---------------------------------------------


                                   *By: /s/ Lawrence A. Totsky
                                        ----------------------------------------
                                        Lawrence A. Totsky
                                        Chief Financial Officer of Artisan
                                        Investment Corporation
                                        Attorney-in-Fact for Andrew A. Ziegler
                                        Attorney-in-Fact for Carlene Murphy
                                        Ziegler

                                  Page 8 of 12



                                  Exhibit Index

Exhibit 1   Joint Filing Agreement dated as of January 26, 2005 by and among
            Artisan Partners Limited Partnership, Artisan Investment
            Corporation, Andrew A. Ziegler, and Carlene Murphy Ziegler

Exhibit 2   Power of Attorney of Andrew A. Ziegler dated as of April 2, 2002

Exhibit 3   Power of Attorney of Carlene M. Ziegler dated as of April 2, 2002

                                  Page 9 of 12